14310072192 has 256 divisors, whose sum is σ = 42771456000. Its totient is φ = 4209131520.

The previous prime is 14310072143. The next prime is 14310072199. The reversal of 14310072192 is 29127001341.

14310072192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14310072192² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14310072199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13772409 + ... + 13773447.

It is an arithmetic number, because the mean of its divisors is an integer number (167076000).

Almost surely, 2^14310072192 is an apocalyptic number.

14310072192 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 14310072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728000).

14310072192 is an abundant number, since it is smaller than the sum of its proper divisors (28461383808).

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

14310072192 is a wasteful number, since it uses less digits than its factorization.

14310072192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 14310072192 in words is "fourteen billion, three hundred ten million, seventy-two thousand, one hundred ninety-two".