14640809508864 has 1472 divisors, whose sum is σ = 57208957562880. Its totient is φ = 3587639869440.

The previous prime is 14640809508833. The next prime is 14640809508893. The reversal of 14640809508864 is 46880590804641.

14640809508864 is a `hidden beast` number, since 1 + 4 + 6 + 40 + 8 + 0 + 9 + 508 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1472).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200559034332 + ... + 200559034404.

Almost surely, 2^{14640809508864} is an apocalyptic number.

14640809508864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14640809508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604478781440).

14640809508864 is an abundant number, since it is smaller than the sum of its proper divisors (42568148054016).

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

14640809508864 is an frugal number, since it uses more digits than its factorization.

14640809508864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 14640809508864 in words is "fourteen trillion, six hundred forty billion, eight hundred nine million, five hundred eight thousand, eight hundred sixty-four".