45153664 has 32 divisors (see below), whose sum is σ = 91445040. Its totient is φ = 22202880.

The previous prime is 45153659. The next prime is 45153677. The reversal of 45153664 is 46635154.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4917 + ... + 10699.

Almost surely, 2^45153664 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 45153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722520).

45153664 is an abundant number, since it is smaller than the sum of its proper divisors (46291376).

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

45153664 is an equidigital number, since it uses as much as digits as its factorization.

45153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5846 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 45153664 is about 6719.6476098081. The cubic root of 45153664 is about 356.0937345231.

The spelling of 45153664 in words is "forty-five million, one hundred fifty-three thousand, six hundred sixty-four".