14129676288 has 630 divisors, whose sum is σ = 52432180584. Its totient is φ = 3726508032.

The previous prime is 14129676221. The next prime is 14129676307. The reversal of 14129676288 is 88267692141.

It is a happy number.

14129676288 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 9 + 6 + 7 + 628 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1086898170 + ... + 1086898182.

Almost surely, 2^14129676288 is an apocalyptic number.

14129676288 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 14129676288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26216090292).

14129676288 is an abundant number, since it is smaller than the sum of its proper divisors (38302504296).

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

14129676288 is an frugal number, since it uses more digits than its factorization.

14129676288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 25 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

14129676288 divided by its product of digits (2322432) gives a square (6084 = 78²).

The spelling of 14129676288 in words is "fourteen billion, one hundred twenty-nine million, six hundred seventy-six thousand, two hundred eighty-eight".