12816349006431 has 64 divisors (see below), whose sum is σ = 18867074273280. Its totient is φ = 7702584215040.

The previous prime is 12816349006429. The next prime is 12816349006459. The reversal of 12816349006431 is 13460094361821.

12816349006431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12816349006431 - 2¹ = 12816349006429 is a prime.

It is a super-2 number, since 2×12816349006431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12816349006471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405013696 + ... + 405045338.

It is an arithmetic number, because the mean of its divisors is an integer number (294798035520).

Almost surely, 2^{12816349006431} is an apocalyptic number.

12816349006431 is a deficient number, since it is larger than the sum of its proper divisors (6050725266849).

12816349006431 is a wasteful number, since it uses less digits than its factorization.

12816349006431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33276.

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 12816349006431 in words is "twelve trillion, eight hundred sixteen billion, three hundred forty-nine million, six thousand, four hundred thirty-one".