12838682736 has 600 divisors, whose sum is σ = 44699916800. Its totient is φ = 3541190400.

The previous prime is 12838682729. The next prime is 12838682743. The reversal of 12838682736 is 63728683821.

It is an interprime number because it is at equal distance from previous prime (12838682729) and next prime (12838682743).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 92364555 + ... + 92364693.

Almost surely, 2^12838682736 is an apocalyptic number.

12838682736 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 12838682736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22349958400).

12838682736 is an abundant number, since it is smaller than the sum of its proper divisors (31861234064).

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

12838682736 is a wasteful number, since it uses less digits than its factorization.

12838682736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 12838682736 in words is "twelve billion, eight hundred thirty-eight million, six hundred eighty-two thousand, seven hundred thirty-six".