12442864896 has 360 divisors, whose sum is σ = 46263438144. Its totient is φ = 3231498240.

The previous prime is 12442864883. The next prime is 12442864897. The reversal of 12442864896 is 69846824421.

It is a happy number.

12442864896 is a `hidden beast` number, since 124 + 428 + 6 + 4 + 8 + 96 = 666.

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

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 (12442864897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1592776 + ... + 1600568.

Almost surely, 2^12442864896 is an apocalyptic number.

12442864896 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 12442864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23131719072).

12442864896 is an abundant number, since it is smaller than the sum of its proper divisors (33820573248).

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

12442864896 is an equidigital number, since it uses as much as digits as its factorization.

12442864896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839 (or 7816 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 12442864896 in words is "twelve billion, four hundred forty-two million, eight hundred sixty-four thousand, eight hundred ninety-six".