12399431616 has 672 divisors, whose sum is σ = 45522489600. Its totient is φ = 3262187520.

The previous prime is 12399431587. The next prime is 12399431633. The reversal of 12399431616 is 61613499321.

12399431616 is a `hidden beast` number, since 1 + 23 + 9 + 9 + 4 + 3 + 1 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89204475 + ... + 89204613.

It is an arithmetic number, because the mean of its divisors is an integer number (67741800).

Almost surely, 2^12399431616 is an apocalyptic number.

12399431616 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 12399431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22761244800).

12399431616 is an abundant number, since it is smaller than the sum of its proper divisors (33123057984).

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

12399431616 is a wasteful number, since it uses less digits than its factorization.

12399431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 12399431616 in words is "twelve billion, three hundred ninety-nine million, four hundred thirty-one thousand, six hundred sixteen".