45579942880 has 24 divisors (see below), whose sum is σ = 107682615432. Its totient is φ = 18231977088.

The previous prime is 45579942823. The next prime is 45579942883. The reversal of 45579942880 is 8824997554.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45579942883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142437162 + ... + 142437481.

It is an arithmetic number, because the mean of its divisors is an integer number (4486775643).

Almost surely, 2^45579942880 is an apocalyptic number.

45579942880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45579942880 is an abundant number, since it is smaller than the sum of its proper divisors (62102672552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45579942880 is a wasteful number, since it uses less digits than its factorization.

45579942880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284874658 (or 284874650 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 45579942880 in words is "forty-five billion, five hundred seventy-nine million, nine hundred forty-two thousand, eight hundred eighty".