56434046592 has 256 divisors, whose sum is σ = 187530900480. Its totient is φ = 14608097280.

The previous prime is 56434046561. The next prime is 56434046593. The reversal of 56434046592 is 29564043465.

It is a super-2 number, since 2×56434046592² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (56434046593) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9074268 + ... + 9080484.

It is an arithmetic number, because the mean of its divisors is an integer number (732542580).

Almost surely, 2^56434046592 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 56434046592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93765450240).

56434046592 is an abundant number, since it is smaller than the sum of its proper divisors (131096853888).

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

56434046592 is a wasteful number, since it uses less digits than its factorization.

56434046592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 56434046592 in words is "fifty-six billion, four hundred thirty-four million, forty-six thousand, five hundred ninety-two".