18142864894080 has 1536 divisors, whose sum is σ = 68676828480000. Its totient is φ = 4522666917888.

The previous prime is 18142864894079. The next prime is 18142864894109. The reversal of 18142864894080 is 8049846824181.

18142864894080 is a `hidden beast` number, since 1 + 8 + 1 + 428 + 6 + 48 + 94 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18142864893999 and 18142864894017.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121764193846 + ... + 121764193994.

It is an arithmetic number, because the mean of its divisors is an integer number (44711476875).

Almost surely, 2^{18142864894080} is an apocalyptic number.

18142864894080 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 18142864894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34338414240000).

18142864894080 is an abundant number, since it is smaller than the sum of its proper divisors (50533963585920).

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

18142864894080 is a wasteful number, since it uses less digits than its factorization.

18142864894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 18142864894080 in words is "eighteen trillion, one hundred forty-two billion, eight hundred sixty-four million, eight hundred ninety-four thousand, eighty".