45371664 has 100 divisors (see below), whose sum is σ = 141472716. Its totient is φ = 13955328.

The previous prime is 45371659. The next prime is 45371681. The reversal of 45371664 is 46617354.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 33177600 = 3492^2 + 5760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15502 + ... + 18194.

Almost surely, 2^45371664 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 45371664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70736358).

45371664 is an abundant number, since it is smaller than the sum of its proper divisors (96101052).

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

45371664 is a wasteful number, since it uses less digits than its factorization.

45371664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2711 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45371664 is about 6735.8491669573. The cubic root of 45371664 is about 356.6658832875.

The spelling of 45371664 in words is "forty-five million, three hundred seventy-one thousand, six hundred sixty-four".