14368874688 has 224 divisors, whose sum is σ = 48550494720. Its totient is φ = 4082088960.

The previous prime is 14368874687. The next prime is 14368874693. The reversal of 14368874688 is 88647886341.

14368874688 is a `hidden beast` number, since 1 + 436 + 8 + 87 + 46 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 not an unprimeable number, because it can be changed into a prime (14368874687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186095 + ... + 2192657.

It is an arithmetic number, because the mean of its divisors is an integer number (216743280).

Almost surely, 2^14368874688 is an apocalyptic number.

14368874688 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 14368874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24275247360).

14368874688 is an abundant number, since it is smaller than the sum of its proper divisors (34181620032).

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

14368874688 is a wasteful number, since it uses less digits than its factorization.

14368874688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6756 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 14368874688 in words is "fourteen billion, three hundred sixty-eight million, eight hundred seventy-four thousand, six hundred eighty-eight".