838129856256 has 2160 divisors, whose sum is σ = 3410459458560. Its totient is φ = 202051584000.

The previous prime is 838129856219. The next prime is 838129856329. The reversal of 838129856256 is 652658921838.

838129856256 is a `hidden beast` number, since 8 + 3 + 8 + 12 + 9 + 8 + 562 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 838129856193 and 838129856202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14205590755 + ... + 14205590813.

It is an arithmetic number, because the mean of its divisors is an integer number (1578916416).

Almost surely, 2^838129856256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838129856256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705229729280).

838129856256 is an abundant number, since it is smaller than the sum of its proper divisors (2572329602304).

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

838129856256 is a wasteful number, since it uses less digits than its factorization.

838129856256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 838129856256 in words is "eight hundred thirty-eight billion, one hundred twenty-nine million, eight hundred fifty-six thousand, two hundred fifty-six".