14164287264 has 144 divisors (see below), whose sum is σ = 41833471680. Its totient is φ = 4714433280.

The previous prime is 14164287199. The next prime is 14164287281. The reversal of 14164287264 is 46278246141.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14164287264² (a number of 21 digits) contains 22 as substring.

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, 10255854 + ... + 10257234.

It is an arithmetic number, because the mean of its divisors is an integer number (290510220).

Almost surely, 2^14164287264 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 14164287264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20916735840).

14164287264 is an abundant number, since it is smaller than the sum of its proper divisors (27669184416).

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

14164287264 is a wasteful number, since it uses less digits than its factorization.

14164287264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2705 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 14164287264 in words is "fourteen billion, one hundred sixty-four million, two hundred eighty-seven thousand, two hundred sixty-four".