38116591037568 has 512 divisors, whose sum is σ = 118299355200000. Its totient is φ = 12066288353280.

The previous prime is 38116591037519. The next prime is 38116591037627. The reversal of 38116591037568 is 86573019561183.

38116591037568 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 6 + 59 + 10 + 3 + 7 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1538125338 + ... + 1538150118.

It is an arithmetic number, because the mean of its divisors is an integer number (231053428125).

Almost surely, 2^{38116591037568} 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 38116591037568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59149677600000).

38116591037568 is an abundant number, since it is smaller than the sum of its proper divisors (80182764162432).

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

38116591037568 is a wasteful number, since it uses less digits than its factorization.

38116591037568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25085 (or 25067 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 38116591037568 in words is "thirty-eight trillion, one hundred sixteen billion, five hundred ninety-one million, thirty-seven thousand, five hundred sixty-eight".