14371648164 has 144 divisors (see below), whose sum is σ = 38969723520. Its totient is φ = 4454714880.

The previous prime is 14371648157. The next prime is 14371648171. The reversal of 14371648164 is 46184617341.

14371648164 is a `hidden beast` number, since 1 + 43 + 71 + 6 + 481 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (14371648157) and next prime (14371648171).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12865734 + ... + 12866850.

It is an arithmetic number, because the mean of its divisors is an integer number (270623080).

Almost surely, 2^14371648164 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 14371648164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19484861760).

14371648164 is an abundant number, since it is smaller than the sum of its proper divisors (24598075356).

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

14371648164 is a wasteful number, since it uses less digits than its factorization.

14371648164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1565 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 14371648164 in words is "fourteen billion, three hundred seventy-one million, six hundred forty-eight thousand, one hundred sixty-four".