45198864 has 80 divisors (see below), whose sum is σ = 135408000. Its totient is φ = 14408064.

The previous prime is 45198821. The next prime is 45198871. The reversal of 45198864 is 46889154.

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 15 ways as a sum of consecutive naturals, for example, 7662 + ... + 12210.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^45198864 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 45198864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704000).

45198864 is an abundant number, since it is smaller than the sum of its proper divisors (90209136).

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

45198864 is a wasteful number, since it uses less digits than its factorization.

45198864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4577 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 45198864 is about 6723.0100401531. The cubic root of 45198864 is about 356.2125146154.

The spelling of 45198864 in words is "forty-five million, one hundred ninety-eight thousand, eight hundred sixty-four".