45264264516 has 81 divisors (see below), whose sum is σ = 116584142493. Its totient is φ = 14807678400.

The previous prime is 45264264511. The next prime is 45264264527. The reversal of 45264264516 is 61546246254.

The square root of 45264264516 is 212754.

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

45264264516 is a `hidden beast` number, since 4 + 52 + 64 + 26 + 4 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38046062916 + 7218201600 = 195054^2 + 84960^2 .

It is not an unprimeable number, because it can be changed into a prime (45264264511) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 75314616 + ... + 75315216.

Almost surely, 2^45264264516 is an apocalyptic number.

45264264516 is the 212754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45264264516

45264264516 is an abundant number, since it is smaller than the sum of its proper divisors (71319877977).

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

45264264516 is an equidigital number, since it uses as much as digits as its factorization.

45264264516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 45264264516 in words is "forty-five billion, two hundred sixty-four million, two hundred sixty-four thousand, five hundred sixteen".