14294947968 has 288 divisors, whose sum is σ = 48185792460. Its totient is φ = 4055740416.

The previous prime is 14294947951. The next prime is 14294947991. The reversal of 14294947968 is 86974949241.

14294947968 is a `hidden beast` number, since 14 + 2 + 9 + 494 + 79 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14267824704 + 27123264 = 119448^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8861530 + ... + 8863142.

Almost surely, 2^14294947968 is an apocalyptic number.

14294947968 is a gapful number since it is divisible by the number (18) 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 14294947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24092896230).

14294947968 is an abundant number, since it is smaller than the sum of its proper divisors (33890844492).

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

14294947968 is a wasteful number, since it uses less digits than its factorization.

14294947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1782 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 14294947968 in words is "fourteen billion, two hundred ninety-four million, nine hundred forty-seven thousand, nine hundred sixty-eight".