14172300096000 has 320 divisors, whose sum is σ = 48268634109696. Its totient is φ = 3687100416000.

The previous prime is 14172300095971. The next prime is 14172300096103. The reversal of 14172300096000 is 69000327141.

14172300096000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×14172300096000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6971829 + ... + 8772171.

Almost surely, 2^{14172300096000} is an apocalyptic number.

14172300096000 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 14172300096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24134317054848).

14172300096000 is an abundant number, since it is smaller than the sum of its proper divisors (34096334013696).

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

14172300096000 is an equidigital number, since it uses as much as digits as its factorization.

14172300096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800420 (or 1800394 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 14172300096000 in words is "fourteen trillion, one hundred seventy-two billion, three hundred million, ninety-six thousand".