14332840896 has 224 divisors, whose sum is σ = 43942113792. Its totient is φ = 4074864640.

The previous prime is 14332840871. The next prime is 14332840903. The reversal of 14332840896 is 69804823341.

14332840896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 22152445 + ... + 22153091.

Almost surely, 2^14332840896 is an apocalyptic number.

14332840896 is a gapful number since it is divisible by the number (16) 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 14332840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21971056896).

14332840896 is an abundant number, since it is smaller than the sum of its proper divisors (29609272896).

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

14332840896 is a wasteful number, since it uses less digits than its factorization.

14332840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 14332840896 in words is "fourteen billion, three hundred thirty-two million, eight hundred forty thousand, eight hundred ninety-six".