45101664 has 48 divisors (see below), whose sum is σ = 131549040. Its totient is φ = 15033600.

The previous prime is 45101647. The next prime is 45101671. The reversal of 45101664 is 46610154.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25237 + ... + 26964.

It is an arithmetic number, because the mean of its divisors is an integer number (2740605).

Almost surely, 2^45101664 is an apocalyptic number.

It is an amenable number.

45101664 is an abundant number, since it is smaller than the sum of its proper divisors (86447376).

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

45101664 is a wasteful number, since it uses less digits than its factorization.

45101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52220 (or 52206 counting only the distinct ones).

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

The square root of 45101664 is about 6715.7772446680. Note that the first 3 decimals coincide. The cubic root of 45101664 is about 355.9569867655.

The spelling of 45101664 in words is "forty-five million, one hundred one thousand, six hundred sixty-four".