18436819968000 has 2688 divisors, whose sum is σ = 82045644595200. Its totient is φ = 4068900864000.

The previous prime is 18436819967983. The next prime is 18436819968001. The reversal of 18436819968000 is 86991863481.

18436819968000 is a `hidden beast` number, since 1 + 8 + 4 + 368 + 199 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18436819968001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41997311781 + ... + 41997312219.

Almost surely, 2^{18436819968000} is an apocalyptic number.

18436819968000 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 18436819968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41022822297600).

18436819968000 is an abundant number, since it is smaller than the sum of its proper divisors (63608824627200).

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

18436819968000 is an equidigital number, since it uses as much as digits as its factorization.

18436819968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 18436819968000 in words is "eighteen trillion, four hundred thirty-six billion, eight hundred nineteen million, nine hundred sixty-eight thousand".