8101617916032 has 384 divisors, whose sum is σ = 24628659793920. Its totient is φ = 2650402944000.

The previous prime is 8101617915983. The next prime is 8101617916061. The reversal of 8101617916032 is 2306197161018.

8101617916032 is a `hidden beast` number, since 8 + 10 + 1 + 617 + 9 + 16 + 0 + 3 + 2 = 666.

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

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, 492461407 + ... + 492477857.

It is an arithmetic number, because the mean of its divisors is an integer number (64137134880).

Almost surely, 2^{8101617916032} 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 8101617916032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12314329896960).

8101617916032 is an abundant number, since it is smaller than the sum of its proper divisors (16527041877888).

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

8101617916032 is a wasteful number, since it uses less digits than its factorization.

8101617916032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16774 (or 16750 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 8101617916032 in words is "eight trillion, one hundred one billion, six hundred seventeen million, nine hundred sixteen thousand, thirty-two".