14378399116848 has 960 divisors, whose sum is σ = 48481696972800. Its totient is φ = 4085960785920.

The previous prime is 14378399116747. The next prime is 14378399116897. The reversal of 14378399116848 is 84861199387341.

14378399116848 is a `hidden beast` number, since 1 + 4 + 3 + 78 + 399 + 1 + 168 + 4 + 8 = 666.

It is a super-2 number, since 2×14378399116848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12965192518 + ... + 12965193626.

It is an arithmetic number, because the mean of its divisors is an integer number (50501767680).

Almost surely, 2^{14378399116848} is an apocalyptic number.

14378399116848 is a gapful number since it is divisible by the number (18) 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 14378399116848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24240848486400).

14378399116848 is an abundant number, since it is smaller than the sum of its proper divisors (34103297855952).

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

14378399116848 is a wasteful number, since it uses less digits than its factorization.

14378399116848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1414 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 14378399116848 in words is "fourteen trillion, three hundred seventy-eight billion, three hundred ninety-nine million, one hundred sixteen thousand, eight hundred forty-eight".