33382804160160 has 768 divisors, whose sum is σ = 151371453542400. Its totient is φ = 6672697823232.

The previous prime is 33382804160149. The next prime is 33382804160213. The reversal of 33382804160160 is 6106140828333.

33382804160160 is a `hidden beast` number, since 3 + 3 + 38 + 2 + 8 + 0 + 4 + 1 + 601 + 6 + 0 = 666.

It is a super-2 number, since 2×33382804160160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5234607 + ... + 9703953.

It is an arithmetic number, because the mean of its divisors is an integer number (197098246800).

Almost surely, 2^{33382804160160} is an apocalyptic number.

33382804160160 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 33382804160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75685726771200).

33382804160160 is an abundant number, since it is smaller than the sum of its proper divisors (117988649382240).

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

33382804160160 is a wasteful number, since it uses less digits than its factorization.

33382804160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469410 (or 4469396 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 33382804160160 its reverse (6106140828333), we get a palindrome (39488944988493).

The spelling of 33382804160160 in words is "thirty-three trillion, three hundred eighty-two billion, eight hundred four million, one hundred sixty thousand, one hundred sixty".