14314816992 has 96 divisors (see below), whose sum is σ = 43031520000. Its totient is φ = 4081655808.

The previous prime is 14314816973. The next prime is 14314817053. The reversal of 14314816992 is 29961841341.

It is a happy number.

14314816992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 313984 + ... + 356672.

It is an arithmetic number, because the mean of its divisors is an integer number (448245000).

Almost surely, 2^14314816992 is an apocalyptic number.

14314816992 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 14314816992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21515760000).

14314816992 is an abundant number, since it is smaller than the sum of its proper divisors (28716703008).

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

14314816992 is a wasteful number, since it uses less digits than its factorization.

14314816992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43208 (or 43200 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The spelling of 14314816992 in words is "fourteen billion, three hundred fourteen million, eight hundred sixteen thousand, nine hundred ninety-two".