18393661440000 has 2800 divisors, whose sum is σ = 85929429405600. Its totient is φ = 3822059520000.

The previous prime is 18393661439983. The next prime is 18393661440001. The reversal of 18393661440000 is 4416639381.

It is a Jordan-Polya number, since it can be written as 11! ⋅ (5!)² ⋅ (2!)⁵.

18393661440000 is a `hidden beast` number, since 183 + 9 + 3 + 6 + 61 + 4 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18393661440001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1672151039995 + ... + 1672151040005.

Almost surely, 2^{18393661440000} is an apocalyptic number.

18393661440000 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 18393661440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42964714702800).

18393661440000 is an abundant number, since it is smaller than the sum of its proper divisors (67535767965600).

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

18393661440000 is an frugal number, since it uses more digits than its factorization.

18393661440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 18393661440000 in words is "eighteen trillion, three hundred ninety-three billion, six hundred sixty-one million, four hundred forty thousand".