45152864 has 48 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 20887680.

The previous prime is 45152857. The next prime is 45152869. The reversal of 45152864 is 46825154.

It is a super-2 number, since 2×45152864² = 4077562254804992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45152869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21827 + ... + 23805.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 2^45152864 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 45152864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

45152864 is an abundant number, since it is smaller than the sum of its proper divisors (50647456).

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

45152864 is a wasteful number, since it uses less digits than its factorization.

45152864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2035 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 45152864 is about 6719.5880826134. The cubic root of 45152864 is about 356.0916315068.

The spelling of 45152864 in words is "forty-five million, one hundred fifty-two thousand, eight hundred sixty-four".