45185579761 has 9 divisors (see below), whose sum is σ = 52564548249. Its totient is φ = 38729221524.

The previous prime is 45185579741. The next prime is 45185579767. The reversal of 45185579761 is 16797558154.

The square root of 45185579761 is 212569.

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

It is not a de Polignac number, because 45185579761 - 2¹³ = 45185571569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45185579696 and 45185579705.

It is not an unprimeable number, because it can be changed into a prime (45185579767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1472800 + ... + 1503166.

It is an arithmetic number, because the mean of its divisors is an integer number (5840505361).

Almost surely, 2^45185579761 is an apocalyptic number.

45185579761 is the 212569-th square number.

45185579761 is the 106285-th centered octagonal number.

It is an amenable number.

45185579761 is a deficient number, since it is larger than the sum of its proper divisors (7378968488).

45185579761 is an frugal number, since it uses more digits than its factorization.

45185579761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60748 (or 30374 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 58.

The spelling of 45185579761 in words is "forty-five billion, one hundred eighty-five million, five hundred seventy-nine thousand, seven hundred sixty-one".