14115761664 has 160 divisors (see below), whose sum is σ = 40304563200. Its totient is φ = 4378632192.

The previous prime is 14115761659. The next prime is 14115761683. The reversal of 14115761664 is 46616751141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301737 + ... + 1312535.

It is an arithmetic number, because the mean of its divisors is an integer number (251903520).

Almost surely, 2^14115761664 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 14115761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20152281600).

14115761664 is an abundant number, since it is smaller than the sum of its proper divisors (26188801536).

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

14115761664 is a wasteful number, since it uses less digits than its factorization.

14115761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10864 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 14115761664 in words is "fourteen billion, one hundred fifteen million, seven hundred sixty-one thousand, six hundred sixty-four".