14189232960 has 336 divisors, whose sum is σ = 56144989056. Its totient is φ = 3221876736.

The previous prime is 14189232943. The next prime is 14189232961. The reversal of 14189232960 is 6923298141.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14189232961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3162879 + ... + 3167361.

Almost surely, 2^14189232960 is an apocalyptic number.

14189232960 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 14189232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28072494528).

14189232960 is an abundant number, since it is smaller than the sum of its proper divisors (41955756096).

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

14189232960 is a wasteful number, since it uses less digits than its factorization.

14189232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14189232960 in words is "fourteen billion, one hundred eighty-nine million, two hundred thirty-two thousand, nine hundred sixty".