14867642664 has 80 divisors (see below), whose sum is σ = 47592204000. Its totient is φ = 4247896608.

The previous prime is 14867642659. The next prime is 14867642717. The reversal of 14867642664 is 46624676841.

It is a happy number.

14867642664 is a `hidden beast` number, since 14 + 86 + 76 + 426 + 64 = 666.

14867642664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14867642664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1634314 + ... + 1643385.

It is an arithmetic number, because the mean of its divisors is an integer number (594902550).

Almost surely, 2^14867642664 is an apocalyptic number.

14867642664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14867642664 is an abundant number, since it is smaller than the sum of its proper divisors (32724561336).

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

14867642664 is a wasteful number, since it uses less digits than its factorization.

14867642664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277724 (or 3277711 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 14867642664 in words is "fourteen billion, eight hundred sixty-seven million, six hundred forty-two thousand, six hundred sixty-four".