18401366016000 has 1536 divisors, whose sum is σ = 75558075989760. Its totient is φ = 4264820736000.

The previous prime is 18401366015941. The next prime is 18401366016017. The reversal of 18401366016000 is 61066310481.

18401366016000 is a `hidden beast` number, since 1 + 8 + 40 + 1 + 3 + 6 + 6 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×18401366016000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9326591014 + ... + 9326592986.

Almost surely, 2^{18401366016000} is an apocalyptic number.

18401366016000 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 18401366016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37779037994880).

18401366016000 is an abundant number, since it is smaller than the sum of its proper divisors (57156709973760).

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

18401366016000 is a wasteful number, since it uses less digits than its factorization.

18401366016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18401366016000 in words is "eighteen trillion, four hundred one billion, three hundred sixty-six million, sixteen thousand".