45045216 has 72 divisors (see below), whose sum is σ = 128845080. Its totient is φ = 14927616.

The previous prime is 45045211. The next prime is 45045227. The reversal of 45045216 is 61254054.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45045216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45045211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65611 + ... + 66293.

It is an arithmetic number, because the mean of its divisors is an integer number (1789515).

Almost surely, 2^45045216 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 45045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64422540).

45045216 is an abundant number, since it is smaller than the sum of its proper divisors (83799864).

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

45045216 is a wasteful number, since it uses less digits than its factorization.

45045216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45045216 is about 6711.5732879855. The cubic root of 45045216 is about 355.8084227830.

The spelling of 45045216 in words is "forty-five million, forty-five thousand, two hundred sixteen".