45875324160 has 576 divisors, whose sum is σ = 174146837760. Its totient is φ = 11395399680.

The previous prime is 45875324149. The next prime is 45875324213. The reversal of 45875324160 is 6142357854.

45875324160 is a `hidden beast` number, since 4 + 58 + 7 + 532 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66389415 + ... + 66390105.

It is an arithmetic number, because the mean of its divisors is an integer number (302338260).

Almost surely, 2^45875324160 is an apocalyptic number.

45875324160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45875324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87073418880).

45875324160 is an abundant number, since it is smaller than the sum of its proper divisors (128271513600).

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

45875324160 is a wasteful number, since it uses less digits than its factorization.

45875324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45875324160 in words is "forty-five billion, eight hundred seventy-five million, three hundred twenty-four thousand, one hundred sixty".