45980653761 has 27 divisors (see below), whose sum is σ = 77267577153. Its totient is φ = 26272086120.

The previous prime is 45980653723. The next prime is 45980653781. The reversal of 45980653761 is 16735608954.

The square root of 45980653761 is 214431.

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

45980653761 is a `hidden beast` number, since 45 + 9 + 8 + 0 + 6 + 537 + 61 = 666.

It is not a de Polignac number, because 45980653761 - 2¹¹ = 45980651713 is a prime.

It is a super-2 number, since 2×45980653761² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45980653698 and 45980653707.

It is not an unprimeable number, because it can be changed into a prime (45980653781) 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, 4497946 + ... + 4508156.

Almost surely, 2^45980653761 is an apocalyptic number.

45980653761 is the 214431-st square number.

45980653761 is the 107216-th centered octagonal number.

It is an amenable number.

45980653761 is a deficient number, since it is larger than the sum of its proper divisors (31286923392).

45980653761 is an frugal number, since it uses more digits than its factorization.

45980653761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20442 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 45980653761 in words is "forty-five billion, nine hundred eighty million, six hundred fifty-three thousand, seven hundred sixty-one".