14216820253104 has 320 divisors, whose sum is σ = 43115134740480. Its totient is φ = 3952801382400.

The previous prime is 14216820253099. The next prime is 14216820253133. The reversal of 14216820253104 is 40135202861241.

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, 1906502944 + ... + 1906510400.

It is an arithmetic number, because the mean of its divisors is an integer number (134734796064).

Almost surely, 2^{14216820253104} is an apocalyptic number.

14216820253104 is a gapful number since it is divisible by the number (14) 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 14216820253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21557567370240).

14216820253104 is an abundant number, since it is smaller than the sum of its proper divisors (28898314487376).

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

14216820253104 is a wasteful number, since it uses less digits than its factorization.

14216820253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 14216820253104 in words is "fourteen trillion, two hundred sixteen billion, eight hundred twenty million, two hundred fifty-three thousand, one hundred four".