14263643664 has 120 divisors (see below), whose sum is σ = 40639529112. Its totient is φ = 4668917760.

The previous prime is 14263643633. The next prime is 14263643701. The reversal of 14263643664 is 46634636241.

14263643664 is a `hidden beast` number, since 1 + 4 + 2 + 636 + 4 + 3 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 644753664 + 13618890000 = 25392^2 + 116700^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8229742 + ... + 8231474.

Almost surely, 2^14263643664 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 14263643664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20319764556).

14263643664 is an abundant number, since it is smaller than the sum of its proper divisors (26375885448).

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

14263643664 is a wasteful number, since it uses less digits than its factorization.

14263643664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2736 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 14263643664 in words is "fourteen billion, two hundred sixty-three million, six hundred forty-three thousand, six hundred sixty-four".