12836511744 has 448 divisors, whose sum is σ = 42276003840. Its totient is φ = 3385589760.

The previous prime is 12836511719. The next prime is 12836511749. The reversal of 12836511744 is 44711563821.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12836511696 and 12836511705.

It is not an unprimeable number, because it can be changed into a prime (12836511749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154656727 + ... + 154656809.

It is an arithmetic number, because the mean of its divisors is an integer number (94366080).

Almost surely, 2^12836511744 is an apocalyptic number.

12836511744 is a gapful number since it is divisible by the number (14) 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 12836511744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138001920).

12836511744 is an abundant number, since it is smaller than the sum of its proper divisors (29439492096).

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

12836511744 is an equidigital number, since it uses as much as digits as its factorization.

12836511744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 155 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 12836511744 in words is "twelve billion, eight hundred thirty-six million, five hundred eleven thousand, seven hundred forty-four".