12353812416 has 224 divisors, whose sum is σ = 41951208960. Its totient is φ = 3523276800.

The previous prime is 12353812403. The next prime is 12353812421. The reversal of 12353812416 is 61421835321.

12353812416 is a `hidden beast` number, since 1 + 2 + 35 + 381 + 241 + 6 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304021 + ... + 342251.

Almost surely, 2^12353812416 is an apocalyptic number.

12353812416 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 12353812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20975604480).

12353812416 is an abundant number, since it is smaller than the sum of its proper divisors (29597396544).

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

12353812416 is a wasteful number, since it uses less digits than its factorization.

12353812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38280 (or 38264 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 12353812416 in words is "twelve billion, three hundred fifty-three million, eight hundred twelve thousand, four hundred sixteen".