33484482120960 has 2016 divisors, whose sum is σ = 137803352107680. Its totient is φ = 7719031406592.

The previous prime is 33484482120937. The next prime is 33484482120967. The reversal of 33484482120960 is 6902128448433.

It is a happy number.

33484482120960 is a `hidden beast` number, since 3 + 3 + 4 + 84 + 482 + 1 + 20 + 9 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1080335729664 + 32404146391296 = 1039392^2 + 5692464^2 .

It is a super-2 number, since 2×33484482120960² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33484482120897 and 33484482120906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33484482120967) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 81869149236 + ... + 81869149644.

It is an arithmetic number, because the mean of its divisors is an integer number (68354837355).

Almost surely, 2^{33484482120960} is an apocalyptic number.

33484482120960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33484482120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901676053840).

33484482120960 is an abundant number, since it is smaller than the sum of its proper divisors (104318869986720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33484482120960 is a wasteful number, since it uses less digits than its factorization.

33484482120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 33484482120960 in words is "thirty-three trillion, four hundred eighty-four billion, four hundred eighty-two million, one hundred twenty thousand, nine hundred sixty".