14141994768 has 400 divisors, whose sum is σ = 46884499200. Its totient is φ = 4075868160.

The previous prime is 14141994767. The next prime is 14141994773. The reversal of 14141994768 is 86749914141.

It is a happy number.

14141994768 is a `hidden beast` number, since 1 + 41 + 41 + 99 + 476 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14141994767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32660280 + ... + 32660712.

It is an arithmetic number, because the mean of its divisors is an integer number (117211248).

Almost surely, 2^14141994768 is an apocalyptic number.

14141994768 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 14141994768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442249600).

14141994768 is an abundant number, since it is smaller than the sum of its proper divisors (32742504432).

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

14141994768 is a wasteful number, since it uses less digits than its factorization.

14141994768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 557 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 14141994768 in words is "fourteen billion, one hundred forty-one million, nine hundred ninety-four thousand, seven hundred sixty-eight".