45844376769 has 27 divisors (see below), whose sum is σ = 66806535523. Its totient is φ = 30294420144.

The previous prime is 45844376749. The next prime is 45844376797. The reversal of 45844376769 is 96767344854.

It is a happy number.

The square root of 45844376769 is 214113.

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

45844376769 is a `hidden beast` number, since 4 + 5 + 84 + 437 + 67 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5370984369 + 40473392400 = 73287^2 + 201180^2 .

It is not a de Polignac number, because 45844376769 - 2¹⁷ = 45844245697 is a prime.

It is a super-2 number, since 2×45844376769² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45844376749) 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, 95708272 + ... + 95708750.

Almost surely, 2^45844376769 is an apocalyptic number.

45844376769 is the 214113-rd square number.

45844376769 is the 107057-th centered octagonal number.

It is an amenable number.

45844376769 is a deficient number, since it is larger than the sum of its proper divisors (20962158754).

45844376769 is an frugal number, since it uses more digits than its factorization.

45844376769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 631 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 45844376769 in words is "forty-five billion, eight hundred forty-four million, three hundred seventy-six thousand, seven hundred sixty-nine".