18968420937024 has 336 divisors, whose sum is σ = 60098323084800. Its totient is φ = 5683531898880.

The previous prime is 18968420937017. The next prime is 18968420937047. The reversal of 18968420937024 is 42073902486981.

18968420937024 is a `hidden beast` number, since 1 + 89 + 68 + 420 + 9 + 3 + 70 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69899844 + ... + 70170684.

It is an arithmetic number, because the mean of its divisors is an integer number (178864056800).

Almost surely, 2^{18968420937024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18968420937024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30049161542400).

18968420937024 is an abundant number, since it is smaller than the sum of its proper divisors (41129902147776).

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

18968420937024 is a wasteful number, since it uses less digits than its factorization.

18968420937024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271118 (or 271105 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 18968420937024 in words is "eighteen trillion, nine hundred sixty-eight billion, four hundred twenty million, nine hundred thirty-seven thousand, twenty-four".