38997292568256 has 672 divisors, whose sum is σ = 130542681784320. Its totient is φ = 10999458201600.

The previous prime is 38997292568249. The next prime is 38997292568263. The reversal of 38997292568256 is 65286529279983.

It is a happy number.

38997292568256 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 7 + 29 + 2 + 568 + 25 + 6 = 666.

38997292568256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38997292568249) and next prime (38997292568263).

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 95 ways as a sum of consecutive naturals, for example, 7618144065 + ... + 7618149183.

Almost surely, 2^{38997292568256} is an apocalyptic number.

38997292568256 is a gapful number since it is divisible by the number (36) 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 38997292568256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65271340892160).

38997292568256 is an abundant number, since it is smaller than the sum of its proper divisors (91545389216064).

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

38997292568256 is a wasteful number, since it uses less digits than its factorization.

38997292568256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5920 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 81.

The spelling of 38997292568256 in words is "thirty-eight trillion, nine hundred ninety-seven billion, two hundred ninety-two million, five hundred sixty-eight thousand, two hundred fifty-six".