14072868864 has 156 divisors (see below), whose sum is σ = 41645927232. Its totient is φ = 4576051200.

The previous prime is 14072868851. The next prime is 14072868869. The reversal of 14072868864 is 46886827041.

It is a self number, because there is not a number n which added to its sum of digits gives 14072868864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14072868869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1506769 + ... + 1516079.

It is an arithmetic number, because the mean of its divisors is an integer number (266961072).

Almost surely, 2^14072868864 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 14072868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20822963616).

14072868864 is an abundant number, since it is smaller than the sum of its proper divisors (27573058368).

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

14072868864 is an equidigital number, since it uses as much as digits as its factorization.

14072868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14072868864 in words is "fourteen billion, seventy-two million, eight hundred sixty-eight thousand, eight hundred sixty-four".