12413014848 has 336 divisors, whose sum is σ = 40881269520. Its totient is φ = 3588489216.

The previous prime is 12413014847. The next prime is 12413014883. The reversal of 12413014848 is 84841031421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2645250624 + 9767764224 = 51432^2 + 98832^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413014843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21512736 + ... + 21513312.

It is an arithmetic number, because the mean of its divisors is an integer number (121670445).

Almost surely, 2^12413014848 is an apocalyptic number.

12413014848 is a gapful number since it is divisible by the number (18) 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 12413014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20440634760).

12413014848 is an abundant number, since it is smaller than the sum of its proper divisors (28468254672).

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

12413014848 is a wasteful number, since it uses less digits than its factorization.

12413014848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12413014848 in words is "twelve billion, four hundred thirteen million, fourteen thousand, eight hundred forty-eight".