45585084601 has 48 divisors (see below), whose sum is σ = 57918931200. Its totient is φ = 35631332352.

The previous prime is 45585084593. The next prime is 45585084613. The reversal of 45585084601 is 10648058554.

It is not a de Polignac number, because 45585084601 - 2³ = 45585084593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45585084641) 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 47 ways as a sum of consecutive naturals, for example, 9528256 + ... + 9533038.

It is an arithmetic number, because the mean of its divisors is an integer number (1206644400).

Almost surely, 2^45585084601 is an apocalyptic number.

It is an amenable number.

45585084601 is a deficient number, since it is larger than the sum of its proper divisors (12333846599).

45585084601 is a wasteful number, since it uses less digits than its factorization.

45585084601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 46.

The spelling of 45585084601 in words is "forty-five billion, five hundred eighty-five million, eighty-four thousand, six hundred one".