14088816192 has 224 divisors, whose sum is σ = 43211617920. Its totient is φ = 4010065920.

The previous prime is 14088816191. The next prime is 14088816239. The reversal of 14088816192 is 29161888041.

It is a super-2 number, since 2×14088816192² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14088816191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2263068 + ... + 2269284.

Almost surely, 2^14088816192 is an apocalyptic number.

14088816192 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 14088816192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605808960).

14088816192 is an abundant number, since it is smaller than the sum of its proper divisors (29122801728).

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

14088816192 is a wasteful number, since it uses less digits than its factorization.

14088816192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

It can be divided in two parts, 140888 and 16192, that added together give a triangular number (157080 = T₅₆₀).

The spelling of 14088816192 in words is "fourteen billion, eighty-eight million, eight hundred sixteen thousand, one hundred ninety-two".