45585666064 has 15 divisors (see below), whose sum is σ = 88323882717. Its totient is φ = 22792406016.

The previous prime is 45585666059. The next prime is 45585666097. The reversal of 45585666064 is 46066658554.

The square root of 45585666064 is 213508.

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

It can be written as a sum of positive squares in only one way, i.e., 45531024400 + 54641664 = 213380^2 + 7392^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45585665996 and 45585666014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 827344 + ... + 880720.

Almost surely, 2^45585666064 is an apocalyptic number.

45585666064 is the 213508-th square number.

It is an amenable number.

45585666064 is a deficient number, since it is larger than the sum of its proper divisors (42738216653).

45585666064 is an frugal number, since it uses more digits than its factorization.

45585666064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106762 (or 53379 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 55.

The spelling of 45585666064 in words is "forty-five billion, five hundred eighty-five million, six hundred sixty-six thousand, sixty-four".