12468738744 has 480 divisors, whose sum is σ = 44045164800. Its totient is φ = 3159112320.

The previous prime is 12468738707. The next prime is 12468738829. The reversal of 12468738744 is 44783786421.

It is a super-2 number, since 2×12468738744² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 150225727 + ... + 150225809.

It is an arithmetic number, because the mean of its divisors is an integer number (91760760).

Almost surely, 2^12468738744 is an apocalyptic number.

12468738744 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 12468738744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22022582400).

12468738744 is an abundant number, since it is smaller than the sum of its proper divisors (31576426056).

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

12468738744 is a wasteful number, since it uses less digits than its factorization.

12468738744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 12468738744 in words is "twelve billion, four hundred sixty-eight million, seven hundred thirty-eight thousand, seven hundred forty-four".