45815616 has 168 divisors, whose sum is σ = 163884864. Its totient is φ = 11888640.

The previous prime is 45815611. The next prime is 45815617. The reversal of 45815616 is 61651854.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45815611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43836 + ... + 44868.

Almost surely, 2^45815616 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 45815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81942432).

45815616 is an abundant number, since it is smaller than the sum of its proper divisors (118069248).

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

45815616 is a wasteful number, since it uses less digits than its factorization.

45815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1056 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 45815616 is about 6768.7233655986. The cubic root of 45815616 is about 357.8254092874.

The spelling of 45815616 in words is "forty-five million, eight hundred fifteen thousand, six hundred sixteen".