14007187264 has 84 divisors (see below), whose sum is σ = 33745135456. Its totient is φ = 5649905664.

The previous prime is 14007187171. The next prime is 14007187279. The reversal of 14007187264 is 46278170041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75379 + ... + 183565.

Almost surely, 2^14007187264 is an apocalyptic number.

14007187264 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 14007187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872567728).

14007187264 is an abundant number, since it is smaller than the sum of its proper divisors (19737948192).

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

14007187264 is a wasteful number, since it uses less digits than its factorization.

14007187264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108240 (or 108213 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 14007187264 in words is "fourteen billion, seven million, one hundred eighty-seven thousand, two hundred sixty-four".