56391749189136 has 405 divisors, whose sum is σ = 169540973249479. Its totient is φ = 17494000742400.

The previous prime is 56391749189077. The next prime is 56391749189183. The reversal of 56391749189136 is 63198194719365.

It is a happy number.

The square root of 56391749189136 is 7509444.

It is a perfect power (a square), and thus also a powerful number.

56391749189136 is a `hidden beast` number, since 5 + 6 + 3 + 9 + 17 + 491 + 8 + 91 + 36 = 666.

56391749189136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11797988432400 + 44593760756736 = 3434820^2 + 6677856^2 .

It is a super-2 number, since 2×56391749189136² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 200682381316 + ... + 200682381596.

Almost surely, 2^{56391749189136} is an apocalyptic number.

56391749189136 is the 7509444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56391749189136

56391749189136 is an abundant number, since it is smaller than the sum of its proper divisors (113149224060343).

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

56391749189136 is a wasteful number, since it uses less digits than its factorization.

56391749189136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 434 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 72.

The spelling of 56391749189136 in words is "fifty-six trillion, three hundred ninety-one billion, seven hundred forty-nine million, one hundred eighty-nine thousand, one hundred thirty-six".