45601164 has 96 divisors (see below), whose sum is σ = 137984000. Its totient is φ = 13018320.

The previous prime is 45601151. The next prime is 45601169. The reversal of 45601164 is 46110654.

45601164 is a `hidden beast` number, since 45 + 601 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45601169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36429 + ... + 37659.

Almost surely, 2^45601164 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 45601164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992000).

45601164 is an abundant number, since it is smaller than the sum of its proper divisors (92382836).

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

45601164 is a wasteful number, since it uses less digits than its factorization.

45601164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1243 counting only the distinct ones).

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

The square root of 45601164 is about 6752.8633926654. The cubic root of 45601164 is about 357.2662373868.

The spelling of 45601164 in words is "forty-five million, six hundred one thousand, one hundred sixty-four".