45185664 has 32 divisors (see below), whose sum is σ = 120025440. Its totient is φ = 15061760.

The previous prime is 45185663. The next prime is 45185669. The reversal of 45185664 is 46658154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×45185664² = 4083488462241792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45185663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58452 + ... + 59219.

It is an arithmetic number, because the mean of its divisors is an integer number (3750795).

Almost surely, 2^45185664 is an apocalyptic number.

It is an amenable number.

45185664 is an abundant number, since it is smaller than the sum of its proper divisors (74839776).

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

45185664 is a wasteful number, since it uses less digits than its factorization.

45185664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117688 (or 117676 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 45185664 is about 6722.0282653378. The cubic root of 45185664 is about 356.1778348132.

The spelling of 45185664 in words is "forty-five million, one hundred eighty-five thousand, six hundred sixty-four".