45009992908800 has 1440 divisors, whose sum is σ = 176077228159800. Its totient is φ = 11364893982720.

The previous prime is 45009992908759. The next prime is 45009992908817. The reversal of 45009992908800 is 880929990054.

45009992908800 is a `hidden beast` number, since 450 + 0 + 9 + 9 + 92 + 90 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 23954226261 + ... + 23954228139.

Almost surely, 2^{45009992908800} is an apocalyptic number.

45009992908800 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 45009992908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88038614079900).

45009992908800 is an abundant number, since it is smaller than the sum of its proper divisors (131067235251000).

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

45009992908800 is an equidigital number, since it uses as much as digits as its factorization.

45009992908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 45009992908800 in words is "forty-five trillion, nine billion, nine hundred ninety-two million, nine hundred eight thousand, eight hundred".