14668089990400 has 432 divisors, whose sum is σ = 45354095902080. Its totient is φ = 4562812108800.

The previous prime is 14668089990373. The next prime is 14668089990497. The reversal of 14668089990400 is 409998086641.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 250805962 + ... + 250864438.

Almost surely, 2^{14668089990400} is an apocalyptic number.

14668089990400 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 14668089990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22677047951040).

14668089990400 is an abundant number, since it is smaller than the sum of its proper divisors (30686005911680).

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

14668089990400 is a wasteful number, since it uses less digits than its factorization.

14668089990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59030 (or 59011 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 64.

The spelling of 14668089990400 in words is "fourteen trillion, six hundred sixty-eight billion, eighty-nine million, nine hundred ninety thousand, four hundred".