45688320000 has 520 divisors, whose sum is σ = 169397088080. Its totient is φ = 12165120000.

The previous prime is 45688319959. The next prime is 45688320043. The reversal of 45688320000 is 2388654.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119670 + ... + 69120330.

Almost surely, 2^45688320000 is an apocalyptic number.

45688320000 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 45688320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84698544040).

45688320000 is an abundant number, since it is smaller than the sum of its proper divisors (123708768080).

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

45688320000 is an frugal number, since it uses more digits than its factorization.

45688320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45688320000 in words is "forty-five billion, six hundred eighty-eight million, three hundred twenty thousand".