14286137232096 has 72 divisors (see below), whose sum is σ = 42764423967720. Its totient is φ = 4511411755776.

The previous prime is 14286137232083. The next prime is 14286137232097. The reversal of 14286137232096 is 69023273168241.

14286137232096 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 61 + 372 + 3 + 209 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14286137232097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305379875 + ... + 1305390818.

It is an arithmetic number, because the mean of its divisors is an integer number (593950332885).

Almost surely, 2^{14286137232096} is an apocalyptic number.

14286137232096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14286137232096 is an abundant number, since it is smaller than the sum of its proper divisors (28478286735624).

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

14286137232096 is a wasteful number, since it uses less digits than its factorization.

14286137232096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610770728 (or 2610770717 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 14286137232096 in words is "fourteen trillion, two hundred eighty-six billion, one hundred thirty-seven million, two hundred thirty-two thousand, ninety-six".