45716787200 has 624 divisors, whose sum is σ = 140408156160. Its totient is φ = 14425128960.

The previous prime is 45716787163. The next prime is 45716787217. The reversal of 45716787200 is 278761754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774860771 + ... + 774860829.

Almost surely, 2^45716787200 is an apocalyptic number.

45716787200 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 45716787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70204078080).

45716787200 is an abundant number, since it is smaller than the sum of its proper divisors (94691368960).

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

45716787200 is a wasteful number, since it uses less digits than its factorization.

45716787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 47.

The spelling of 45716787200 in words is "forty-five billion, seven hundred sixteen million, seven hundred eighty-seven thousand, two hundred".