45788636800 has 192 divisors, whose sum is σ = 118379208960. Its totient is φ = 17479065600.

The previous prime is 45788636701. The next prime is 45788636801. The reversal of 45788636800 is 863688754.

It is not an unprimeable number, because it can be changed into a prime (45788636801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7238439 + ... + 7244761.

It is an arithmetic number, because the mean of its divisors is an integer number (616558380).

Almost surely, 2^45788636800 is an apocalyptic number.

45788636800 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 45788636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59189604480).

45788636800 is an abundant number, since it is smaller than the sum of its proper divisors (72590572160).

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

45788636800 is a wasteful number, since it uses less digits than its factorization.

45788636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6434 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 45788636800 in words is "forty-five billion, seven hundred eighty-eight million, six hundred thirty-six thousand, eight hundred".