14234375376 has 320 divisors, whose sum is σ = 45971779840. Its totient is φ = 4187842560.

The previous prime is 14234375359. The next prime is 14234375381. The reversal of 14234375376 is 67357343241.

14234375376 is a `hidden beast` number, since 14 + 234 + 37 + 5 + 376 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12674751 + ... + 12675873.

It is an arithmetic number, because the mean of its divisors is an integer number (143661812).

Almost surely, 2^14234375376 is an apocalyptic number.

14234375376 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 14234375376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22985889920).

14234375376 is an abundant number, since it is smaller than the sum of its proper divisors (31737404464).

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

14234375376 is a wasteful number, since it uses less digits than its factorization.

14234375376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1239 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 14234375376 in words is "fourteen billion, two hundred thirty-four million, three hundred seventy-five thousand, three hundred seventy-six".