45916164 has 144 divisors (see below), whose sum is σ = 140824320. Its totient is φ = 12337920.

The previous prime is 45916159. The next prime is 45916237. The reversal of 45916164 is 46161954.

45916164 is a `hidden beast` number, since 4 + 591 + 6 + 1 + 64 = 666.

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

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, 445737 + ... + 445839.

Almost surely, 2^45916164 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 45916164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70412160).

45916164 is an abundant number, since it is smaller than the sum of its proper divisors (94908156).

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

45916164 is a wasteful number, since it uses less digits than its factorization.

45916164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 45916164 is about 6776.1466926270. The cubic root of 45916164 is about 358.0869819752.

The spelling of 45916164 in words is "forty-five million, nine hundred sixteen thousand, one hundred sixty-four".