38169104256 has 512 divisors, whose sum is σ = 125337600000. Its totient is φ = 11381078016.

The previous prime is 38169104251. The next prime is 38169104291. The reversal of 38169104256 is 65240196183.

38169104256 is a `hidden beast` number, since 381 + 6 + 9 + 10 + 4 + 256 = 666.

It is a super-3 number, since 3×38169104256³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38169104251) 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, 191804445 + ... + 191804643.

It is an arithmetic number, because the mean of its divisors is an integer number (244800000).

Almost surely, 2^38169104256 is an apocalyptic number.

38169104256 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 38169104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62668800000).

38169104256 is an abundant number, since it is smaller than the sum of its proper divisors (87168495744).

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

38169104256 is a wasteful number, since it uses less digits than its factorization.

38169104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 38169104256 in words is "thirty-eight billion, one hundred sixty-nine million, one hundred four thousand, two hundred fifty-six".