45849515625 has 63 divisors (see below), whose sum is σ = 82928020539. Its totient is φ = 24410250000.

The previous prime is 45849515587. The next prime is 45849515651. The reversal of 45849515625 is 52651594854.

The square root of 45849515625 is 214125.

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

45849515625 is a `hidden beast` number, since 4 + 5 + 8 + 4 + 9 + 5 + 1 + 5 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 40168577241 + 5680938384 = 200421^2 + 75372^2 .

It is not a de Polignac number, because 45849515625 - 2⁹ = 45849515113 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 62 ways as a sum of consecutive naturals, for example, 80296590 + ... + 80297160.

Almost surely, 2^45849515625 is an apocalyptic number.

45849515625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45849515625 is the 214125-th square number.

45849515625 is the 107063-rd centered octagonal number.

It is an amenable number.

45849515625 is a deficient number, since it is larger than the sum of its proper divisors (37078504914).

45849515625 is an frugal number, since it uses more digits than its factorization.

45849515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 579 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 45849515625 in words is "forty-five billion, eight hundred forty-nine million, five hundred fifteen thousand, six hundred twenty-five".