12396436416 has 336 divisors, whose sum is σ = 44361128448. Its totient is φ = 3222374400.

The previous prime is 12396436343. The next prime is 12396436421. The reversal of 12396436416 is 61463469321.

12396436416 is a `hidden beast` number, since 123 + 96 + 436 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 3719871 + ... + 3723201.

It is an arithmetic number, because the mean of its divisors is an integer number (132027168).

Almost surely, 2^12396436416 is an apocalyptic number.

12396436416 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 12396436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22180564224).

12396436416 is an abundant number, since it is smaller than the sum of its proper divisors (31964692032).

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

12396436416 is a wasteful number, since it uses less digits than its factorization.

12396436416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3427 counting only the distinct ones).

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

The spelling of 12396436416 in words is "twelve billion, three hundred ninety-six million, four hundred thirty-six thousand, four hundred sixteen".