45561216 has 64 divisors (see below), whose sum is σ = 123134400. Its totient is φ = 14922240.

The previous prime is 45561203. The next prime is 45561223. The reversal of 45561216 is 61216554.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21651 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (1923975).

Almost surely, 2^45561216 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 45561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61567200).

45561216 is an abundant number, since it is smaller than the sum of its proper divisors (77573184).

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

45561216 is a wasteful number, since it uses less digits than its factorization.

45561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2075 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 45561216 is about 6749.9048882188. The cubic root of 45561216 is about 357.1618815618.

The spelling of 45561216 in words is "forty-five million, five hundred sixty-one thousand, two hundred sixteen".