5456416032 has 72 divisors (see below), whose sum is σ = 15523945164. Its totient is φ = 1817954304.

The previous prime is 5456416019. The next prime is 5456416057. The reversal of 5456416032 is 2306146545.

5456416032 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 41 + 603 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5405778576 + 50637456 = 73524^2 + 7116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032148 + ... + 1037420.

Almost surely, 2^5456416032 is an apocalyptic number.

It is an amenable number.

5456416032 is an abundant number, since it is smaller than the sum of its proper divisors (10067529132).

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

5456416032 is a wasteful number, since it uses less digits than its factorization.

5456416032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5456416032 is about 73867.5573712845. The cubic root of 5456416032 is about 1760.4991731489.

The spelling of 5456416032 in words is "five billion, four hundred fifty-six million, four hundred sixteen thousand, thirty-two".