33854528016 has 225 divisors, whose sum is σ = 103799213661. Its totient is φ = 10651160448.

The previous prime is 33854528011. The next prime is 33854528039. The reversal of 33854528016 is 61082545833.

The square root of 33854528016 is 183996.

It is a perfect power (a square), and thus also a powerful number.

33854528016 is a `hidden beast` number, since 33 + 85 + 4 + 528 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2227462416 + 31627065600 = 47196^2 + 177840^2 .

It is a super-2 number, since 2×33854528016² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33854528011) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 125853130 + ... + 125853398.

Almost surely, 2^33854528016 is an apocalyptic number.

33854528016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33854528016 is the 183996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33854528016

33854528016 is an abundant number, since it is smaller than the sum of its proper divisors (69944685645).

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

33854528016 is an equidigital number, since it uses as much as digits as its factorization.

33854528016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 33854528016 in words is "thirty-three billion, eight hundred fifty-four million, five hundred twenty-eight thousand, sixteen".