45079357761 has 45 divisors (see below), whose sum is σ = 69674682099. Its totient is φ = 29045239200.

The previous prime is 45079357727. The next prime is 45079357769. The reversal of 45079357761 is 16775397054.

The square root of 45079357761 is 212319.

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

45079357761 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 9 + 3 + 577 + 61 = 666.

45079357761 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., 118396161 + 44960961600 = 10881^2 + 212040^2 .

It is not a de Polignac number, because 45079357761 - 2²¹ = 45077260609 is a prime.

It is a super-2 number, since 2×45079357761² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45079357698 and 45079357707.

It is not an unprimeable number, because it can be changed into a prime (45079357769) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59236621 + ... + 59237381.

Almost surely, 2^45079357761 is an apocalyptic number.

45079357761 is the 212319-th square number.

45079357761 is the 106160-th centered octagonal number.

It is an amenable number.

45079357761 is a deficient number, since it is larger than the sum of its proper divisors (24595324338).

45079357761 is an frugal number, since it uses more digits than its factorization.

45079357761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 45079357761 in words is "forty-five billion, seventy-nine million, three hundred fifty-seven thousand, seven hundred sixty-one".