14140668192 has 288 divisors, whose sum is σ = 44502441984. Its totient is φ = 3850828800.

The previous prime is 14140668173. The next prime is 14140668229. The reversal of 14140668192 is 29186604141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74034817 + ... + 74035007.

It is an arithmetic number, because the mean of its divisors is an integer number (154522368).

Almost surely, 2^14140668192 is an apocalyptic number.

14140668192 is a gapful number since it is divisible by the number (12) 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 14140668192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22251220992).

14140668192 is an abundant number, since it is smaller than the sum of its proper divisors (30361773792).

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

14140668192 is a wasteful number, since it uses less digits than its factorization.

14140668192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 14140668192 in words is "fourteen billion, one hundred forty million, six hundred sixty-eight thousand, one hundred ninety-two".