45568182272 has 108 divisors (see below), whose sum is σ = 93920843835. Its totient is φ = 22103031808.

The previous prime is 45568182269. The next prime is 45568182301. The reversal of 45568182272 is 27228186554.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 18123621376 + 27444560896 = 134624^2 + 165664^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=150944.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45568182272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 512002004 + ... + 512002092.

Almost surely, 2^45568182272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45568182272

45568182272 is an abundant number, since it is smaller than the sum of its proper divisors (48352661563).

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

45568182272 is an frugal number, since it uses more digits than its factorization.

45568182272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 144 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 50.

Multiplying 45568182272 by its sum of digits (50), we get a square (2278409113600 = 1509440²).

It can be divided in two parts, 45568 and 182272, that multiplied together give a square (8305770496 = 91136²).

The spelling of 45568182272 in words is "forty-five billion, five hundred sixty-eight million, one hundred eighty-two thousand, two hundred seventy-two".