12523135254564 has 192 divisors, whose sum is σ = 32712761088000. Its totient is φ = 3696833280000.

The previous prime is 12523135254557. The next prime is 12523135254571. The reversal of 12523135254564 is 46545253132521.

It is an interprime number because it is at equal distance from previous prime (12523135254557) and next prime (12523135254571).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 472326172 + ... + 472352684.

It is an arithmetic number, because the mean of its divisors is an integer number (170378964000).

Almost surely, 2^{12523135254564} 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 12523135254564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356380544000).

12523135254564 is an abundant number, since it is smaller than the sum of its proper divisors (20189625833436).

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

12523135254564 is a wasteful number, since it uses less digits than its factorization.

12523135254564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27202 (or 27200 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 48.

The spelling of 12523135254564 in words is "twelve trillion, five hundred twenty-three billion, one hundred thirty-five million, two hundred fifty-four thousand, five hundred sixty-four".