45588919840 has 24 divisors (see below), whose sum is σ = 107703823500. Its totient is φ = 18235567872.

The previous prime is 45588919807. The next prime is 45588919841. The reversal of 45588919840 is 4891988554.

45588919840 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 2 ways, for example, as 42506893584 + 3082026256 = 206172^2 + 55516^2 .

It is a super-2 number, since 2×45588919840² (a number of 22 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (45588919841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142465215 + ... + 142465534.

Almost surely, 2^45588919840 is an apocalyptic number.

45588919840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45588919840 is an abundant number, since it is smaller than the sum of its proper divisors (62114903660).

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

45588919840 is a wasteful number, since it uses less digits than its factorization.

45588919840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284930764 (or 284930756 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 61.

It can be divided in two parts, 45 and 588919840, that added together give a palindrome (588919885).

The spelling of 45588919840 in words is "forty-five billion, five hundred eighty-eight million, nine hundred nineteen thousand, eight hundred forty".