14009348864 has 72 divisors (see below), whose sum is σ = 32010021120. Its totient is φ = 5994390528.

The previous prime is 14009348851. The next prime is 14009348867. The reversal of 14009348864 is 46884390041.

It is not an unprimeable number, because it can be changed into a prime (14009348867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1174997 + ... + 1186859.

Almost surely, 2^14009348864 is an apocalyptic number.

14009348864 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 14009348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005010560).

14009348864 is an abundant number, since it is smaller than the sum of its proper divisors (18000672256).

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

14009348864 is an equidigital number, since it uses as much as digits as its factorization.

14009348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12545 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 14009348864 in words is "fourteen billion, nine million, three hundred forty-eight thousand, eight hundred sixty-four".