6136486871256 has 576 divisors, whose sum is σ = 21137813424000. Its totient is φ = 1660646836800.

The previous prime is 6136486871243. The next prime is 6136486871267. The reversal of 6136486871256 is 6521786846316.

6136486871256 is a `hidden beast` number, since 6 + 1 + 36 + 486 + 8 + 71 + 2 + 56 = 666.

It is a super-2 number, since 2×6136486871256² (a number of 26 digits) contains 22 as substring.

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 = 6136486871193 and 6136486871202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1319388531 + ... + 1319393181.

It is an arithmetic number, because the mean of its divisors is an integer number (36697592750).

Almost surely, 2^{6136486871256} 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 6136486871256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10568906712000).

6136486871256 is an abundant number, since it is smaller than the sum of its proper divisors (15001326552744).

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

6136486871256 is an equidigital number, since it uses as much as digits as its factorization.

6136486871256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4682 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 6136486871256 in words is "six trillion, one hundred thirty-six billion, four hundred eighty-six million, eight hundred seventy-one thousand, two hundred fifty-six".