14314128192 has 560 divisors, whose sum is σ = 55006483840. Its totient is φ = 3574222848.

The previous prime is 14314128167. The next prime is 14314128203. The reversal of 14314128192 is 29182141341.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8962338 + ... + 8963934.

It is an arithmetic number, because the mean of its divisors is an integer number (98225864).

Almost surely, 2^14314128192 is an apocalyptic number.

14314128192 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 14314128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27503241920).

14314128192 is an abundant number, since it is smaller than the sum of its proper divisors (40692355648).

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

14314128192 is a wasteful number, since it uses less digits than its factorization.

14314128192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1641 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 14314128192 in words is "fourteen billion, three hundred fourteen million, one hundred twenty-eight thousand, one hundred ninety-two".