12538246464 has 168 divisors, whose sum is σ = 37222508232. Its totient is φ = 4032737280.

The previous prime is 12538246463. The next prime is 12538246537. The reversal of 12538246464 is 46464283521.

12538246464 is a `hidden beast` number, since 1 + 2 + 53 + 82 + 464 + 64 = 666.

12538246464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3551206464 + 8987040000 = 59592^2 + 94800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12538246463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858842 + ... + 1865574.

It is an arithmetic number, because the mean of its divisors is an integer number (221562549).

Almost surely, 2^12538246464 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 12538246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18611254116).

12538246464 is an abundant number, since it is smaller than the sum of its proper divisors (24684261768).

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

12538246464 is a wasteful number, since it uses less digits than its factorization.

12538246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6852 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 12538246464 in words is "twelve billion, five hundred thirty-eight million, two hundred forty-six thousand, four hundred sixty-four".