12581356035136 has 168 divisors, whose sum is σ = 29350676129112. Its totient is φ = 5334819840000.

The previous prime is 12581356035109. The next prime is 12581356035137. The reversal of 12581356035136 is 63153065318521.

It can be written as a sum of positive squares in 4 ways, for example, as 7202481857536 + 5378874177600 = 2683744^2 + 2319240^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 12581356035136.

It is not an unprimeable number, because it can be changed into a prime (12581356035137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 469072606 + ... + 469099426.

Almost surely, 2^{12581356035136} is an apocalyptic number.

12581356035136 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 12581356035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675338064556).

12581356035136 is an abundant number, since it is smaller than the sum of its proper divisors (16769320093976).

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

12581356035136 is a wasteful number, since it uses less digits than its factorization.

12581356035136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28429 (or 28412 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 12581356035136 in words is "twelve trillion, five hundred eighty-one billion, three hundred fifty-six million, thirty-five thousand, one hundred thirty-six".