14098766688 has 384 divisors, whose sum is σ = 45824486400. Its totient is φ = 4249428480.

The previous prime is 14098766681. The next prime is 14098766699. The reversal of 14098766688 is 88666789041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14098766681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30582778 + ... + 30583238.

It is an arithmetic number, because the mean of its divisors is an integer number (119334600).

Almost surely, 2^14098766688 is an apocalyptic number.

14098766688 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 14098766688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22912243200).

14098766688 is an abundant number, since it is smaller than the sum of its proper divisors (31725719712).

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

14098766688 is an equidigital number, since it uses as much as digits as its factorization.

14098766688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 14098766688 in words is "fourteen billion, ninety-eight million, seven hundred sixty-six thousand, six hundred eighty-eight".