14282831993160 has 384 divisors, whose sum is σ = 47096354880000. Its totient is φ = 3460443420672.

The previous prime is 14282831993149. The next prime is 14282831993191. The reversal of 14282831993160 is 6139913828241.

14282831993160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 14282831993160.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187147569 + ... + 187223871.

It is an arithmetic number, because the mean of its divisors is an integer number (122646757500).

Almost surely, 2^{14282831993160} is an apocalyptic number.

14282831993160 is a gapful number since it is divisible by the number (10) 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 14282831993160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23548177440000).

14282831993160 is an abundant number, since it is smaller than the sum of its proper divisors (32813522886840).

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

14282831993160 is a wasteful number, since it uses less digits than its factorization.

14282831993160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76533 (or 76510 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 14282831993160 in words is "fourteen trillion, two hundred eighty-two billion, eight hundred thirty-one million, nine hundred ninety-three thousand, one hundred sixty".