14182889376 has 96 divisors (see below), whose sum is σ = 37666944000. Its totient is φ = 4672371456.

The previous prime is 14182889339. The next prime is 14182889377. The reversal of 14182889376 is 67398828141.

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

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14182889377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5124345 + ... + 5127111.

It is an arithmetic number, because the mean of its divisors is an integer number (392364000).

Almost surely, 2^14182889376 is an apocalyptic number.

14182889376 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 14182889376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18833472000).

14182889376 is an abundant number, since it is smaller than the sum of its proper divisors (23484054624).

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

14182889376 is a wasteful number, since it uses less digits than its factorization.

14182889376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3378 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The spelling of 14182889376 in words is "fourteen billion, one hundred eighty-two million, eight hundred eighty-nine thousand, three hundred seventy-six".