32916088938096 has 480 divisors, whose sum is σ = 121780538880000. Its totient is φ = 8224259774976.

The previous prime is 32916088938067. The next prime is 32916088938121. The reversal of 32916088938096 is 69083988061923.

32916088938096 is a `hidden beast` number, since 3 + 2 + 9 + 1 + 608 + 8 + 9 + 3 + 8 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10850785 + ... + 13548863.

It is an arithmetic number, because the mean of its divisors is an integer number (253709456000).

Almost surely, 2^{32916088938096} is an apocalyptic number.

32916088938096 is a gapful number since it is divisible by the number (36) 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 32916088938096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60890269440000).

32916088938096 is an abundant number, since it is smaller than the sum of its proper divisors (88864449941904).

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

32916088938096 is a wasteful number, since it uses less digits than its factorization.

32916088938096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698146 (or 2698123 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 32916088938096 in words is "thirty-two trillion, nine hundred sixteen billion, eighty-eight million, nine hundred thirty-eight thousand, ninety-six".