45876660432 has 160 divisors (see below), whose sum is σ = 127005204480. Its totient is φ = 14237959680.

The previous prime is 45876660413. The next prime is 45876660433. The reversal of 45876660432 is 23406667854.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45876660433) 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 31 ways as a sum of consecutive naturals, for example, 13245933 + ... + 13249395.

It is an arithmetic number, because the mean of its divisors is an integer number (793782528).

Almost surely, 2^45876660432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45876660432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63502602240).

45876660432 is an abundant number, since it is smaller than the sum of its proper divisors (81128544048).

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

45876660432 is a wasteful number, since it uses less digits than its factorization.

45876660432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 45876660432 in words is "forty-five billion, eight hundred seventy-six million, six hundred sixty thousand, four hundred thirty-two".