33153768648 has 1152 divisors, whose sum is σ = 133849497600. Its totient is φ = 7185024000.

The previous prime is 33153768643. The next prime is 33153768649. The reversal of 33153768648 is 84686735133.

33153768648 is a `hidden beast` number, since 3 + 3 + 1 + 537 + 68 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 33153768594 and 33153768603.

It is not an unprimeable number, because it can be changed into a prime (33153768643) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 466954453 + ... + 466954523.

It is an arithmetic number, because the mean of its divisors is an integer number (116188800).

Almost surely, 2^33153768648 is an apocalyptic number.

33153768648 is a gapful number since it is divisible by the number (38) 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 33153768648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66924748800).

33153768648 is an abundant number, since it is smaller than the sum of its proper divisors (100695728952).

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

33153768648 is a wasteful number, since it uses less digits than its factorization.

33153768648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 33153768648 in words is "thirty-three billion, one hundred fifty-three million, seven hundred sixty-eight thousand, six hundred forty-eight".