45953664 has 32 divisors (see below), whose sum is σ = 122065440. Its totient is φ = 15317760.

The previous prime is 45953641. The next prime is 45953689. The reversal of 45953664 is 46635954.

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

It is a super-2 number, since 2×45953664² = 4223478470049792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 59452 + ... + 60219.

It is an arithmetic number, because the mean of its divisors is an integer number (3814545).

Almost surely, 2^45953664 is an apocalyptic number.

It is an amenable number.

45953664 is an abundant number, since it is smaller than the sum of its proper divisors (76111776).

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

45953664 is a wasteful number, since it uses less digits than its factorization.

45953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119688 (or 119676 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 45953664 is about 6778.9131872299. The cubic root of 45953664 is about 358.1844393603.

The spelling of 45953664 in words is "forty-five million, nine hundred fifty-three thousand, six hundred sixty-four".