14339072000 has 448 divisors, whose sum is σ = 41709807360. Its totient is φ = 4866048000.

The previous prime is 14339071993. The next prime is 14339072023. The reversal of 14339072000 is 27093341.

It is a congruent number.

It is an unprimeable number.

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, 214015967 + ... + 214016033.

Almost surely, 2^14339072000 is an apocalyptic number.

14339072000 is a gapful number since it is divisible by the number (10) 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 14339072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854903680).

14339072000 is an abundant number, since it is smaller than the sum of its proper divisors (27370735360).

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

14339072000 is an equidigital number, since it uses as much as digits as its factorization.

14339072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 14339072000 in words is "fourteen billion, three hundred thirty-nine million, seventy-two thousand".