18442416960000 has 1400 divisors, whose sum is σ = 75324480313104. Its totient is φ = 4470266880000.

The previous prime is 18442416959987. The next prime is 18442416960049. The reversal of 18442416960000 is 6961424481.

18442416960000 is a `hidden beast` number, since 1 + 8 + 4 + 4 + 24 + 16 + 9 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2566076407 + ... + 2566083593.

Almost surely, 2^{18442416960000} is an apocalyptic number.

18442416960000 is a gapful number since it is divisible by the number (10) 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 18442416960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37662240156552).

18442416960000 is an abundant number, since it is smaller than the sum of its proper divisors (56882063353104).

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

18442416960000 is an frugal number, since it uses more digits than its factorization.

18442416960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7254 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18442416960000 in words is "eighteen trillion, four hundred forty-two billion, four hundred sixteen million, nine hundred sixty thousand".