12463768144 has 40 divisors (see below), whose sum is σ = 25637812200. Its totient is φ = 5849530368.

The previous prime is 12463768133. The next prime is 12463768169. The reversal of 12463768144 is 44186736421.

It can be written as a sum of positive squares in 4 ways, for example, as 3236244544 + 9227523600 = 56888^2 + 96060^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12463768094 and 12463768103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40032 + ... + 162880.

It is an arithmetic number, because the mean of its divisors is an integer number (640945305).

Almost surely, 2^12463768144 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 12463768144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818906100).

12463768144 is an abundant number, since it is smaller than the sum of its proper divisors (13174044056).

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

12463768144 is a wasteful number, since it uses less digits than its factorization.

12463768144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123247 (or 123241 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The spelling of 12463768144 in words is "twelve billion, four hundred sixty-three million, seven hundred sixty-eight thousand, one hundred forty-four".