14038468668 has 432 divisors, whose sum is σ = 46150191360. Its totient is φ = 3644766720.

The previous prime is 14038468579. The next prime is 14038468679. The reversal of 14038468668 is 86686483041.

14038468668 is a `hidden beast` number, since 140 + 38 + 468 + 6 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124234180 + ... + 124234292.

Almost surely, 2^14038468668 is an apocalyptic number.

14038468668 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 14038468668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23075095680).

14038468668 is an abundant number, since it is smaller than the sum of its proper divisors (32111722692).

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

14038468668 is a wasteful number, since it uses less digits than its factorization.

14038468668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 14038468668 in words is "fourteen billion, thirty-eight million, four hundred sixty-eight thousand, six hundred sixty-eight".