14131284993 has 96 divisors (see below), whose sum is σ = 24582684672. Its totient is φ = 7653139200.

The previous prime is 14131284989. The next prime is 14131285043. The reversal of 14131284993 is 39948213141.

14131284993 is a `hidden beast` number, since 1 + 4 + 131 + 28 + 499 + 3 = 666.

It is not a de Polignac number, because 14131284993 - 2² = 14131284989 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14131284943) 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, 30921621 + ... + 30922077.

It is an arithmetic number, because the mean of its divisors is an integer number (256069632).

Almost surely, 2^14131284993 is an apocalyptic number.

It is an amenable number.

14131284993 is a deficient number, since it is larger than the sum of its proper divisors (10451399679).

14131284993 is a wasteful number, since it uses less digits than its factorization.

14131284993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 792 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 14131284993 in words is "fourteen billion, one hundred thirty-one million, two hundred eighty-four thousand, nine hundred ninety-three".