12632281368 has 96 divisors (see below), whose sum is σ = 36877574400. Its totient is φ = 3532327488.

The previous prime is 12632281349. The next prime is 12632281369. The reversal of 12632281368 is 86318223621.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12632281369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354093 + ... + 388131.

It is an arithmetic number, because the mean of its divisors is an integer number (384141400).

Almost surely, 2^12632281368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12632281368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18438787200).

12632281368 is an abundant number, since it is smaller than the sum of its proper divisors (24245293032).

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

12632281368 is a wasteful number, since it uses less digits than its factorization.

12632281368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34149 (or 34098 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

It can be divided in two parts, 126322 and 81368, that added together give a triangular number (207690 = T₆₄₄).

The spelling of 12632281368 in words is "twelve billion, six hundred thirty-two million, two hundred eighty-one thousand, three hundred sixty-eight".