38591137152 has 256 divisors, whose sum is σ = 119049830400. Its totient is φ = 12445954560.

The previous prime is 38591137133. The next prime is 38591137163. The reversal of 38591137152 is 25173119583.

38591137152 is a `hidden beast` number, since 3 + 8 + 591 + 1 + 3 + 7 + 1 + 52 = 666.

It is a super-2 number, since 2×38591137152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38591137098 and 38591137107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8675793 + ... + 8680239.

It is an arithmetic number, because the mean of its divisors is an integer number (465038400).

Almost surely, 2^38591137152 is an apocalyptic number.

38591137152 is a gapful number since it is divisible by the number (32) 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 38591137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59524915200).

38591137152 is an abundant number, since it is smaller than the sum of its proper divisors (80458693248).

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

38591137152 is an frugal number, since it uses more digits than its factorization.

38591137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4483 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 38591137152 in words is "thirty-eight billion, five hundred ninety-one million, one hundred thirty-seven thousand, one hundred fifty-two".