45516096 has 84 divisors (see below), whose sum is σ = 137363200. Its totient is φ = 14370048.

The previous prime is 45516083. The next prime is 45516101. The reversal of 45516096 is 69061554.

45516096 is a `hidden beast` number, since 45 + 5 + 1 + 609 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45516096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8865 + ... + 13023.

Almost surely, 2^45516096 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 45516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68681600).

45516096 is an abundant number, since it is smaller than the sum of its proper divisors (91847104).

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

45516096 is a wasteful number, since it uses less digits than its factorization.

45516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45516096 is about 6746.5617910162. The cubic root of 45516096 is about 357.0439415818.

The spelling of 45516096 in words is "forty-five million, five hundred sixteen thousand, ninety-six".