45109999180800 has 1056 divisors, whose sum is σ = 174777026054400. Its totient is φ = 11369963520000.

The previous prime is 45109999180783. The next prime is 45109999180847. The reversal of 45109999180800 is 808199990154.

45109999180800 is a `hidden beast` number, since 451 + 0 + 9 + 9 + 99 + 18 + 0 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6054217075 + ... + 6054224525.

It is an arithmetic number, because the mean of its divisors is an integer number (165508547400).

Almost surely, 2^{45109999180800} is an apocalyptic number.

45109999180800 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 45109999180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87388513027200).

45109999180800 is an abundant number, since it is smaller than the sum of its proper divisors (129667026873600).

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

45109999180800 is a wasteful number, since it uses less digits than its factorization.

45109999180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7970 (or 7941 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

The spelling of 45109999180800 in words is "forty-five trillion, one hundred nine billion, nine hundred ninety-nine million, one hundred eighty thousand, eight hundred".