14128152192 has 768 divisors, whose sum is σ = 55816750080. Its totient is φ = 3443834880.

The previous prime is 14128152167. The next prime is 14128152193. The reversal of 14128152192 is 29125182141.

14128152192 is a `hidden beast` number, since 1 + 4 + 128 + 1 + 521 + 9 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (14128152193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40714963 + ... + 40715309.

It is an arithmetic number, because the mean of its divisors is an integer number (72678060).

Almost surely, 2^14128152192 is an apocalyptic number.

14128152192 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 14128152192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27908375040).

14128152192 is an abundant number, since it is smaller than the sum of its proper divisors (41688597888).

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

14128152192 is a wasteful number, since it uses less digits than its factorization.

14128152192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The spelling of 14128152192 in words is "fourteen billion, one hundred twenty-eight million, one hundred fifty-two thousand, one hundred ninety-two".