14344386304 has 36 divisors (see below), whose sum is σ = 28691783344. Its totient is φ = 7157403648.

The previous prime is 14344386289. The next prime is 14344386313. The reversal of 14344386304 is 40368344341.

It is a happy number.

It is a super-2 number, since 2×14344386304² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67144 + ... + 182200.

Almost surely, 2^14344386304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14344386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14345891672).

14344386304 is an abundant number, since it is smaller than the sum of its proper divisors (14347397040).

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

14344386304 is an equidigital number, since it uses as much as digits as its factorization.

14344386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115560 (or 115546 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 14344386304 in words is "fourteen billion, three hundred forty-four million, three hundred eighty-six thousand, three hundred four".