45294480625 has 15 divisors (see below), whose sum is σ = 56606632423. Its totient is φ = 36231328000.

The previous prime is 45294480607. The next prime is 45294480659. The reversal of 45294480625 is 52608449254.

The square root of 45294480625 is 212825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8067093489 + 37227387136 = 89817^2 + 192944^2 .

It is not a de Polignac number, because 45294480625 - 2²³ = 45286092017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5316369 + ... + 5324881.

Almost surely, 2^45294480625 is an apocalyptic number.

45294480625 is the 212825-th square number.

45294480625 is the 106413-rd centered octagonal number.

It is an amenable number.

45294480625 is a deficient number, since it is larger than the sum of its proper divisors (11312151798).

45294480625 is an frugal number, since it uses more digits than its factorization.

45294480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17046 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

Multiplying 45294480625 by its sum of digits (49), we get a square (2219429550625 = 1489775²).

The spelling of 45294480625 in words is "forty-five billion, two hundred ninety-four million, four hundred eighty thousand, six hundred twenty-five".