12431358016 has 189 divisors, whose sum is σ = 31717092141. Its totient is φ = 4816627200.

The previous prime is 12431358011. The next prime is 12431358029. The reversal of 12431358016 is 61085313421.

The square root of 12431358016 is 111496.

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

12431358016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 136983616 + 12294374400 = 11704^2 + 110880^2 .

It is not an unprimeable number, because it can be changed into a prime (12431358011) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 68681446 + ... + 68681626.

Almost surely, 2^12431358016 is an apocalyptic number.

12431358016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12431358016 is the 111496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12431358016

12431358016 is an abundant number, since it is smaller than the sum of its proper divisors (19285734125).

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

12431358016 is an equidigital number, since it uses as much as digits as its factorization.

12431358016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

It can be divided in two parts, 124313 and 58016, that added together give a square (182329 = 427²).

The spelling of 12431358016 in words is "twelve billion, four hundred thirty-one million, three hundred fifty-eight thousand, sixteen".