14116257792 has 408 divisors, whose sum is σ = 50381595264. Its totient is φ = 3708813312.

The previous prime is 14116257791. The next prime is 14116257839. The reversal of 14116257792 is 29775261141.

14116257792 is a `hidden beast` number, since 1 + 4 + 11 + 62 + 577 + 9 + 2 = 666.

Its product of digits (211680) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14116257791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53673853 + ... + 53674115.

Almost surely, 2^14116257792 is an apocalyptic number.

14116257792 is a gapful number since it is divisible by the number (12) 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 14116257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190797632).

14116257792 is an abundant number, since it is smaller than the sum of its proper divisors (36265337472).

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

14116257792 is an equidigital number, since it uses as much as digits as its factorization.

14116257792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 288 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The spelling of 14116257792 in words is "fourteen billion, one hundred sixteen million, two hundred fifty-seven thousand, seven hundred ninety-two".