56409034438656 has 384 divisors, whose sum is σ = 169704666331200. Its totient is φ = 18742472146944.

The previous prime is 56409034438637. The next prime is 56409034438661. The reversal of 56409034438656 is 65683443090465.

56409034438656 is a `hidden beast` number, since 5 + 6 + 40 + 90 + 3 + 443 + 8 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 56409034438593 and 56409034438602.

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 31 ways as a sum of consecutive naturals, for example, 1401899370 + ... + 1401939606.

Almost surely, 2^{56409034438656} 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 56409034438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84852333165600).

56409034438656 is an abundant number, since it is smaller than the sum of its proper divisors (113295631892544).

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

56409034438656 is an frugal number, since it uses more digits than its factorization.

56409034438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40593 (or 40555 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 56409034438656 in words is "fifty-six trillion, four hundred nine billion, thirty-four million, four hundred thirty-eight thousand, six hundred fifty-six".