12536074513616 has 40 divisors (see below), whose sum is σ = 25538088541800. Its totient is φ = 5952686584320.

The previous prime is 12536074513549. The next prime is 12536074513663. The reversal of 12536074513616 is 61631547063521.

It can be written as a sum of positive squares in 4 ways, for example, as 126377406016 + 12409697107600 = 355496^2 + 3522740^2 .

It is a super-4 number, since 4×12536074513616⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 221425811 + ... + 221482418.

It is an arithmetic number, because the mean of its divisors is an integer number (638452213545).

Almost surely, 2^{12536074513616} is an apocalyptic number.

12536074513616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12536074513616 is an abundant number, since it is smaller than the sum of its proper divisors (13002014028184).

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

12536074513616 is a wasteful number, since it uses less digits than its factorization.

12536074513616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442908327 (or 442908321 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 12536074513616 in words is "twelve trillion, five hundred thirty-six billion, seventy-four million, five hundred thirteen thousand, six hundred sixteen".