14168952864 has 432 divisors, whose sum is σ = 47236434336. Its totient is φ = 4177578240.

The previous prime is 14168952851. The next prime is 14168952871. The reversal of 14168952864 is 46825986141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14168952864.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382944654 + ... + 382944690.

It is an arithmetic number, because the mean of its divisors is an integer number (109343598).

Almost surely, 2^14168952864 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 14168952864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618217168).

14168952864 is an abundant number, since it is smaller than the sum of its proper divisors (33067481472).

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

14168952864 is an frugal number, since it uses more digits than its factorization.

14168952864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 53 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 14168952864 in words is "fourteen billion, one hundred sixty-eight million, nine hundred fifty-two thousand, eight hundred sixty-four".