45600016 has 40 divisors (see below), whose sum is σ = 110153664. Its totient is φ = 17765760.

The previous prime is 45600013. The next prime is 45600029. The reversal of 45600016 is 61000654.

45600016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45600016² = 4158722918400512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 45600016.

It is not an unprimeable number, because it can be changed into a prime (45600013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17275 + ... + 19738.

Almost surely, 2^45600016 is an apocalyptic number.

It is an amenable number.

45600016 is an abundant number, since it is smaller than the sum of its proper divisors (64553648).

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

45600016 is a wasteful number, since it uses less digits than its factorization.

45600016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37039 (or 37033 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45600016 is about 6752.7783911513. The cubic root of 45600016 is about 357.2632393268.

The spelling of 45600016 in words is "forty-five million, six hundred thousand, sixteen".