38016568512 has 448 divisors, whose sum is σ = 129116937600. Its totient is φ = 11000365056.

The previous prime is 38016568511. The next prime is 38016568547. The reversal of 38016568512 is 21586561083.

38016568512 is a `hidden beast` number, since 3 + 80 + 1 + 6 + 56 + 8 + 512 = 666.

38016568512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38016568512³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38016568511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30932314 + ... + 30933542.

It is an arithmetic number, because the mean of its divisors is an integer number (288207450).

Almost surely, 2^38016568512 is an apocalyptic number.

38016568512 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 38016568512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64558468800).

38016568512 is an abundant number, since it is smaller than the sum of its proper divisors (91100369088).

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

38016568512 is a wasteful number, since it uses less digits than its factorization.

38016568512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 38016568512 in words is "thirty-eight billion, sixteen million, five hundred sixty-eight thousand, five hundred twelve".