45261216 has 288 divisors, whose sum is σ = 173916288. Its totient is φ = 10782720.

The previous prime is 45261197. The next prime is 45261239. The reversal of 45261216 is 61216254.

45261216 is a `hidden beast` number, since 45 + 2 + 612 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 45261216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288210 + ... + 288366.

It is an arithmetic number, because the mean of its divisors is an integer number (603876).

Almost surely, 2^45261216 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 45261216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958144).

45261216 is an abundant number, since it is smaller than the sum of its proper divisors (128655072).

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

45261216 is a wasteful number, since it uses less digits than its factorization.

45261216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 45261216 is about 6727.6456505972. The cubic root of 45261216 is about 356.3762381797.

The spelling of 45261216 in words is "forty-five million, two hundred sixty-one thousand, two hundred sixteen".