14936431693824 has 117 divisors (see below), whose sum is σ = 43146567766393. Its totient is φ = 4978563219456.

The previous prime is 14936431693817. The next prime is 14936431693871. The reversal of 14936431693824 is 42839613463941.

It is a happy number.

The square root of 14936431693824 is 3864768.

It is a perfect power (a square), and thus also a powerful number.

14936431693824 is a `hidden beast` number, since 1 + 4 + 9 + 36 + 431 + 6 + 93 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13407548903424 + 1528882790400 = 3661632^2 + 1236480^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 742025392 + ... + 742045520.

Almost surely, 2^{14936431693824} is an apocalyptic number.

14936431693824 is the 3864768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14936431693824

14936431693824 is an abundant number, since it is smaller than the sum of its proper divisors (28210136072569).

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

14936431693824 is an frugal number, since it uses more digits than its factorization.

14936431693824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40288 (or 20134 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 14936431693824 in words is "fourteen trillion, nine hundred thirty-six billion, four hundred thirty-one million, six hundred ninety-three thousand, eight hundred twenty-four".