14114274029568 has 1664 divisors, whose sum is σ = 48944697984000. Its totient is φ = 3990230138880.

The previous prime is 14114274029539. The next prime is 14114274029623. The reversal of 14114274029568 is 86592047241141.

14114274029568 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 2 + 74 + 0 + 2 + 9 + 568 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77979414438 + ... + 77979414618.

It is an arithmetic number, because the mean of its divisors is an integer number (29413881000).

Almost surely, 2^{14114274029568} is an apocalyptic number.

14114274029568 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 14114274029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24472348992000).

14114274029568 is an abundant number, since it is smaller than the sum of its proper divisors (34830423954432).

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

14114274029568 is a wasteful number, since it uses less digits than its factorization.

14114274029568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 14114274029568 in words is "fourteen trillion, one hundred fourteen billion, two hundred seventy-four million, twenty-nine thousand, five hundred sixty-eight".