12434963616 has 192 divisors, whose sum is σ = 40072838400. Its totient is φ = 3731447808.

The previous prime is 12434963603. The next prime is 12434963617. The reversal of 12434963616 is 61636943421.

12434963616 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 4 + 9 + 636 + 1 + 6 = 666.

12434963616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12434963617) 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 31 ways as a sum of consecutive naturals, for example, 319420 + ... + 356228.

It is an arithmetic number, because the mean of its divisors is an integer number (208712700).

Almost surely, 2^12434963616 is an apocalyptic number.

12434963616 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 12434963616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20036419200).

12434963616 is an abundant number, since it is smaller than the sum of its proper divisors (27637874784).

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

12434963616 is a wasteful number, since it uses less digits than its factorization.

12434963616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36868 (or 36854 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 12434963616 in words is "twelve billion, four hundred thirty-four million, nine hundred sixty-three thousand, six hundred sixteen".