18995468168400 has 480 divisors, whose sum is σ = 63376772198400. Its totient is φ = 4859772672000.

The previous prime is 18995468168399. The next prime is 18995468168437. The reversal of 18995468168400 is 486186459981.

It is a congruent number.

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, 1194600450 + ... + 1194616350.

It is an arithmetic number, because the mean of its divisors is an integer number (132034942080).

Almost surely, 2^{18995468168400} is an apocalyptic number.

18995468168400 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 18995468168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31688386099200).

18995468168400 is an abundant number, since it is smaller than the sum of its proper divisors (44381304030000).

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

18995468168400 is a wasteful number, since it uses less digits than its factorization.

18995468168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16387 (or 16376 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 69.

The spelling of 18995468168400 in words is "eighteen trillion, nine hundred ninety-five billion, four hundred sixty-eight million, one hundred sixty-eight thousand, four hundred".