32204392971168 has 192 divisors, whose sum is σ = 92665323112320. Its totient is φ = 9711997440000.

The previous prime is 32204392971137. The next prime is 32204392971199. The reversal of 32204392971168 is 86117929340223.

It is an interprime number because it is at equal distance from previous prime (32204392971137) and next prime (32204392971199).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569950918 + ... + 570007418.

It is an arithmetic number, because the mean of its divisors is an integer number (482631891210).

Almost surely, 2^{32204392971168} 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 32204392971168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332661556160).

32204392971168 is an abundant number, since it is smaller than the sum of its proper divisors (60460930141152).

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

32204392971168 is a wasteful number, since it uses less digits than its factorization.

32204392971168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59111 (or 59103 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 32204392971168 in words is "thirty-two trillion, two hundred four billion, three hundred ninety-two million, nine hundred seventy-one thousand, one hundred sixty-eight".