45131603364 has 27 divisors (see below), whose sum is σ = 114085886187. Its totient is φ = 15043442904.

The previous prime is 45131603359. The next prime is 45131603369. The reversal of 45131603364 is 46330613154.

The square root of 45131603364 is 212442.

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

45131603364 is a `hidden beast` number, since 4 + 5 + 1 + 316 + 0 + 336 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45131603359) and next prime (45131603369).

It is a super-2 number, since 2×45131603364² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45131603369) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1256949 + ... + 1292355.

Almost surely, 2^45131603364 is an apocalyptic number.

45131603364 is the 212442-nd square number.

It is an amenable number.

45131603364 is an abundant number, since it is smaller than the sum of its proper divisors (68954282823).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45131603364 is an frugal number, since it uses more digits than its factorization.

45131603364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70824 (or 35412 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 45131603364 by its sum of digits (36), we get a square (1624737721104 = 1274652²).

45131603364 divided by its sum of digits (36) gives a square (1253655649 = 35407²).

The spelling of 45131603364 in words is "forty-five billion, one hundred thirty-one million, six hundred three thousand, three hundred sixty-four".