45785088000 has 816 divisors, whose sum is σ = 178625655936. Its totient is φ = 11678515200.

The previous prime is 45785087969. The next prime is 45785088029. The reversal of 45785088000 is 88058754.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1990655989 + ... + 1990656011.

Almost surely, 2^45785088000 is an apocalyptic number.

45785088000 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 45785088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89312827968).

45785088000 is an abundant number, since it is smaller than the sum of its proper divisors (132840567936).

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

45785088000 is an frugal number, since it uses more digits than its factorization.

45785088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 45785088000 in words is "forty-five billion, seven hundred eighty-five million, eighty-eight thousand".