45824882625 has 64 divisors (see below), whose sum is σ = 85165317120. Its totient is φ = 24312960000.

The previous prime is 45824882611. The next prime is 45824882683. The reversal of 45824882625 is 52628842854.

45824882625 is a `hidden beast` number, since 4 + 5 + 8 + 2 + 4 + 8 + 8 + 2 + 625 = 666.

It is not a de Polignac number, because 45824882625 - 2²⁷ = 45690664897 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616200 + ... + 686550.

It is an arithmetic number, because the mean of its divisors is an integer number (1330708080).

Almost surely, 2^45824882625 is an apocalyptic number.

45824882625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45824882625 is a deficient number, since it is larger than the sum of its proper divisors (39340434495).

45824882625 is a wasteful number, since it uses less digits than its factorization.

45824882625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70568 (or 70552 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The spelling of 45824882625 in words is "forty-five billion, eight hundred twenty-four million, eight hundred eighty-two thousand, six hundred twenty-five".