14688100992000 has 1056 divisors, whose sum is σ = 50719588418304. Its totient is φ = 3772661760000.

The previous prime is 14688100991969. The next prime is 14688100992011. The reversal of 14688100992000 is 29900188641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97272191925 + ... + 97272192075.

Almost surely, 2^{14688100992000} is an apocalyptic number.

14688100992000 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 14688100992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359794209152).

14688100992000 is an abundant number, since it is smaller than the sum of its proper divisors (36031487426304).

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

14688100992000 is a wasteful number, since it uses less digits than its factorization.

14688100992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 14688100992000 in words is "fourteen trillion, six hundred eighty-eight billion, one hundred million, nine hundred ninety-two thousand".