14680891086400 has 504 divisors, whose sum is σ = 45444103127360. Its totient is φ = 4569310310400.

The previous prime is 14680891086331. The next prime is 14680891086437. The reversal of 14680891086400 is 468019808641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993354211 + ... + 993368989.

Almost surely, 2^{14680891086400} is an apocalyptic number.

14680891086400 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 14680891086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22722051563680).

14680891086400 is an abundant number, since it is smaller than the sum of its proper divisors (30763212040960).

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

14680891086400 is a wasteful number, since it uses less digits than its factorization.

14680891086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15563 (or 15537 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 14680891086400 in words is "fourteen trillion, six hundred eighty billion, eight hundred ninety-one million, eighty-six thousand, four hundred".