14868389990400 has 1248 divisors, whose sum is σ = 53565711575040. Its totient is φ = 3626450288640.

The previous prime is 14868389990359. The next prime is 14868389990449. The reversal of 14868389990400 is 409998386841.

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, 22769356474 + ... + 22769357126.

Almost surely, 2^{14868389990400} is an apocalyptic number.

14868389990400 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 14868389990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26782855787520).

14868389990400 is an abundant number, since it is smaller than the sum of its proper divisors (38697321584640).

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

14868389990400 is a wasteful number, since it uses less digits than its factorization.

14868389990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 69.

The spelling of 14868389990400 in words is "fourteen trillion, eight hundred sixty-eight billion, three hundred eighty-nine million, nine hundred ninety thousand, four hundred".