14813674120896 has 448 divisors, whose sum is σ = 46219538426880. Its totient is φ = 4100034723840.

The previous prime is 14813674120879. The next prime is 14813674120937. The reversal of 14813674120896 is 69802147631841.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5428241260 + ... + 5428243988.

It is an arithmetic number, because the mean of its divisors is an integer number (103168612560).

Almost surely, 2^{14813674120896} is an apocalyptic number.

14813674120896 is a gapful number since it is divisible by the number (16) 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 14813674120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109769213440).

14813674120896 is an abundant number, since it is smaller than the sum of its proper divisors (31405864305984).

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

14813674120896 is a wasteful number, since it uses less digits than its factorization.

14813674120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 14813674120896 in words is "fourteen trillion, eight hundred thirteen billion, six hundred seventy-four million, one hundred twenty thousand, eight hundred ninety-six".