45995716800 has 2016 divisors, whose sum is σ = 212257843200. Its totient is φ = 9289728000.

The previous prime is 45995716799. The next prime is 45995716807. The reversal of 45995716800 is 861759954.

45995716800 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 571 + 68 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (45995716807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1483732785 + ... + 1483732815.

Almost surely, 2^45995716800 is an apocalyptic number.

45995716800 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 45995716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106128921600).

45995716800 is an abundant number, since it is smaller than the sum of its proper divisors (166262126400).

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

45995716800 is a wasteful number, since it uses less digits than its factorization.

45995716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 45995716800 in words is "forty-five billion, nine hundred ninety-five million, seven hundred sixteen thousand, eight hundred".