45081905625 has 135 divisors (see below), whose sum is σ = 86460216843. Its totient is φ = 22625352000.

The previous prime is 45081905599. The next prime is 45081905633. The reversal of 45081905625 is 52650918054.

The square root of 45081905625 is 212325.

It is a perfect power (a square), and thus also a powerful number.

45081905625 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 19 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 44888473161 + 193432464 = 211869^2 + 13908^2 .

It is not a de Polignac number, because 45081905625 - 2¹³ = 45081897433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 302563051 + ... + 302563199.

Almost surely, 2^45081905625 is an apocalyptic number.

45081905625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45081905625 is the 212325-th square number.

45081905625 is the 106163-rd centered octagonal number.

It is an amenable number.

45081905625 is a deficient number, since it is larger than the sum of its proper divisors (41378311218).

45081905625 is an equidigital number, since it uses as much as digits as its factorization.

45081905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 45081905625 in words is "forty-five billion, eighty-one million, nine hundred five thousand, six hundred twenty-five".