33252282059904 has 384 divisors, whose sum is σ = 102289464576000. Its totient is φ = 10337611806720.

The previous prime is 33252282059897. The next prime is 33252282059939. The reversal of 33252282059904 is 40995028225233.

It is a happy number.

33252282059904 is a `hidden beast` number, since 3 + 3 + 2 + 5 + 2 + 28 + 20 + 599 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33252282059904² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2743807957 + ... + 2743820075.

It is an arithmetic number, because the mean of its divisors is an integer number (266378814000).

Almost surely, 2^{33252282059904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33252282059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51144732288000).

33252282059904 is an abundant number, since it is smaller than the sum of its proper divisors (69037182516096).

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

33252282059904 is a wasteful number, since it uses less digits than its factorization.

33252282059904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 33252282059904 in words is "thirty-three trillion, two hundred fifty-two billion, two hundred eighty-two million, fifty-nine thousand, nine hundred four".