56436453646848 has 720 divisors, whose sum is σ = 185773810262040. Its totient is φ = 16461645742080.

The previous prime is 56436453646787. The next prime is 56436453646873. The reversal of 56436453646848 is 84864635463465.

It is a happy number.

56436453646848 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 6 + 4 + 536 + 4 + 6 + 84 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43427678241024 + 13008775405824 = 6589968^2 + 3606768^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5449106886 + ... + 5449117242.

Almost surely, 2^{56436453646848} is an apocalyptic number.

56436453646848 is a gapful number since it is divisible by the number (58) 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 56436453646848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92886905131020).

56436453646848 is an abundant number, since it is smaller than the sum of its proper divisors (129337356615192).

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

56436453646848 is a wasteful number, since it uses less digits than its factorization.

56436453646848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10739 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 56436453646848 in words is "fifty-six trillion, four hundred thirty-six billion, four hundred fifty-three million, six hundred forty-six thousand, eight hundred forty-eight".