18461916144000 has 1024 divisors, whose sum is σ = 78284901427200. Its totient is φ = 4188970598400.

The previous prime is 18461916143963. The next prime is 18461916144031. The reversal of 18461916144000 is 44161916481.

18461916144000 is a `hidden beast` number, since 1 + 8 + 4 + 61 + 91 + 61 + 440 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 414265719 + ... + 414310281.

It is an arithmetic number, because the mean of its divisors is an integer number (76450099050).

Almost surely, 2^{18461916144000} is an apocalyptic number.

18461916144000 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 18461916144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39142450713600).

18461916144000 is an abundant number, since it is smaller than the sum of its proper divisors (59822985283200).

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

18461916144000 is a wasteful number, since it uses less digits than its factorization.

18461916144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44745 (or 44717 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18461916144000 in words is "eighteen trillion, four hundred sixty-one billion, nine hundred sixteen million, one hundred forty-four thousand".