45224700921 has 15 divisors (see below), whose sum is σ = 67560745791. Its totient is φ = 30148524648.

The previous prime is 45224700907. The next prime is 45224700971. The reversal of 45224700921 is 12900742254.

The square root of 45224700921 is 212661.

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

45224700921 is a `hidden beast` number, since 4 + 522 + 47 + 0 + 0 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 644601321 + 44580099600 = 25389^2 + 211140^2 .

It is not a de Polignac number, because 45224700921 - 2²⁹ = 44687830009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45224700901) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1902135 + ... + 1925763.

Almost surely, 2^45224700921 is an apocalyptic number.

45224700921 is the 212661-st square number.

45224700921 is the 106331-st centered octagonal number.

It is an amenable number.

45224700921 is a deficient number, since it is larger than the sum of its proper divisors (22336044870).

45224700921 is an frugal number, since it uses more digits than its factorization.

45224700921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47270 (or 23632 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 45224700921 by its sum of digits (36), we get a square (1628089233156 = 1275966²).

The spelling of 45224700921 in words is "forty-five billion, two hundred twenty-four million, seven hundred thousand, nine hundred twenty-one".