38255158656 has 768 divisors, whose sum is σ = 138568550400. Its totient is φ = 10309939200.

The previous prime is 38255158649. The next prime is 38255158661. The reversal of 38255158656 is 65685155283.

38255158656 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 5 + 1 + 586 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168524815 + ... + 168525041.

It is an arithmetic number, because the mean of its divisors is an integer number (180427800).

Almost surely, 2^38255158656 is an apocalyptic number.

38255158656 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 38255158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69284275200).

38255158656 is an abundant number, since it is smaller than the sum of its proper divisors (100313391744).

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

38255158656 is a wasteful number, since it uses less digits than its factorization.

38255158656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 38255158656 in words is "thirty-eight billion, two hundred fifty-five million, one hundred fifty-eight thousand, six hundred fifty-six".