14338152864 has 144 divisors (see below), whose sum is σ = 46885954752. Its totient is φ = 4071389184.

The previous prime is 14338152859. The next prime is 14338152877. The reversal of 14338152864 is 46825183341.

14338152864 is a `hidden beast` number, since 1 + 43 + 3 + 81 + 528 + 6 + 4 = 666.

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

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, 306792 + ... + 350424.

It is an arithmetic number, because the mean of its divisors is an integer number (325596908).

Almost surely, 2^14338152864 is an apocalyptic number.

14338152864 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 14338152864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442977376).

14338152864 is an abundant number, since it is smaller than the sum of its proper divisors (32547801888).

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

14338152864 is a wasteful number, since it uses less digits than its factorization.

14338152864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43819 (or 43808 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 14338152864 in words is "fourteen billion, three hundred thirty-eight million, one hundred fifty-two thousand, eight hundred sixty-four".