12431086416 has 160 divisors (see below), whose sum is σ = 40880716800. Its totient is φ = 3542901120.

The previous prime is 12431086399. The next prime is 12431086457. The reversal of 12431086416 is 61468013421.

12431086416 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 1 + 0 + 8 + 641 + 6 = 666.

12431086416 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262151 + ... + 1271961.

It is an arithmetic number, because the mean of its divisors is an integer number (255504480).

Almost surely, 2^12431086416 is an apocalyptic number.

12431086416 is a gapful number since it is divisible by the number (16) 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 12431086416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20440358400).

12431086416 is an abundant number, since it is smaller than the sum of its proper divisors (28449630384).

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

12431086416 is a wasteful number, since it uses less digits than its factorization.

12431086416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10254 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 12431086416 its reverse (61468013421), we get a palindrome (73899099837).

The spelling of 12431086416 in words is "twelve billion, four hundred thirty-one million, eighty-six thousand, four hundred sixteen".