12513724666416 has 240 divisors, whose sum is σ = 36196735180320. Its totient is φ = 4032674242560.

The previous prime is 12513724666411. The next prime is 12513724666423. The reversal of 12513724666416 is 61466642731521.

It is not an unprimeable number, because it can be changed into a prime (12513724666411) 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 47 ways as a sum of consecutive naturals, for example, 2266565736 + ... + 2266571256.

It is an arithmetic number, because the mean of its divisors is an integer number (150819729918).

Almost surely, 2^{12513724666416} is an apocalyptic number.

12513724666416 is a gapful number since it is divisible by the number (16) 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 12513724666416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098367590160).

12513724666416 is an abundant number, since it is smaller than the sum of its proper divisors (23683010513904).

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

12513724666416 is a wasteful number, since it uses less digits than its factorization.

12513724666416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 8195 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 12513724666416 in words is "twelve trillion, five hundred thirteen billion, seven hundred twenty-four million, six hundred sixty-six thousand, four hundred sixteen".