45437611921 has 27 divisors (see below), whose sum is σ = 51987769659. Its totient is φ = 39688872912.

The previous prime is 45437611897. The next prime is 45437611957. The reversal of 45437611921 is 12911673454.

It is a happy number.

The square root of 45437611921 is 213161.

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

45437611921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6721540225 + 38716071696 = 81985^2 + 196764^2 .

It is not a de Polignac number, because 45437611921 - 2¹¹ = 45437609873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45437611721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52650336 + ... + 52651198.

Almost surely, 2^45437611921 is an apocalyptic number.

45437611921 is the 213161-st square number.

45437611921 is the 106581-st centered octagonal number.

It is an amenable number.

45437611921 is a deficient number, since it is larger than the sum of its proper divisors (6550157738).

45437611921 is an frugal number, since it uses more digits than its factorization.

45437611921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 895 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The spelling of 45437611921 in words is "forty-five billion, four hundred thirty-seven million, six hundred eleven thousand, nine hundred twenty-one".