13664167314 has 16 divisors (see below), whose sum is σ = 31232382528. Its totient is φ = 3904047792.

The previous prime is 13664167301. The next prime is 13664167327. The reversal of 13664167314 is 41376146631.

13664167314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13664167301) and next prime (13664167327).

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 325337317 = 13664167314 / (1 + 3 + 6 + 6 + 4 + 1 + 6 + 7 + 3 + 1 + 4).

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 7 ways as a sum of consecutive naturals, for example, 162668617 + ... + 162668700.

It is an arithmetic number, because the mean of its divisors is an integer number (1952023908).

Almost surely, 2^13664167314 is an apocalyptic number.

13664167314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13664167314 is an abundant number, since it is smaller than the sum of its proper divisors (17568215214).

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

13664167314 is a wasteful number, since it uses less digits than its factorization.

13664167314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325337329.

The product of its digits is 217728, while the sum is 42.

The spelling of 13664167314 in words is "thirteen billion, six hundred sixty-four million, one hundred sixty-seven thousand, three hundred fourteen".