45631368225 has 135 divisors (see below), whose sum is σ = 87225270121. Its totient is φ = 23583096000.

The previous prime is 45631368173. The next prime is 45631368281. The reversal of 45631368225 is 52286313654.

The square root of 45631368225 is 213615.

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

45631368225 is a `hidden beast` number, since 4 + 5 + 63 + 1 + 368 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8425587681 + 37205780544 = 91791^2 + 192888^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 45631368225 - 2⁹ = 45631367713 is a prime.

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

It is a Duffinian number.

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, 451795675 + ... + 451795775.

Almost surely, 2^45631368225 is an apocalyptic number.

45631368225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45631368225 is the 213615-th square number.

45631368225 is the 106808-th centered octagonal number.

It is an amenable number.

45631368225 is a deficient number, since it is larger than the sum of its proper divisors (41593901896).

45631368225 is an equidigital number, since it uses as much as digits as its factorization.

45631368225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 156 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 45631368225 in words is "forty-five billion, six hundred thirty-one million, three hundred sixty-eight thousand, two hundred twenty-five".