14337679104 has 540 divisors, whose sum is σ = 50581715184. Its totient is φ = 4027097088.

The previous prime is 14337679061. The next prime is 14337679133. The reversal of 14337679104 is 40197673341.

14337679104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14337679104.

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 59 ways as a sum of consecutive naturals, for example, 104654524 + ... + 104654660.

Almost surely, 2^14337679104 is an apocalyptic number.

14337679104 is a gapful number since it is divisible by the number (14) 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 14337679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25290857592).

14337679104 is an abundant number, since it is smaller than the sum of its proper divisors (36244036080).

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

14337679104 is a wasteful number, since it uses less digits than its factorization.

14337679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 14337679104 in words is "fourteen billion, three hundred thirty-seven million, six hundred seventy-nine thousand, one hundred four".