12690536544 has 192 divisors, whose sum is σ = 44528601600. Its totient is φ = 3435001344.

The previous prime is 12690536543. The next prime is 12690536597. The reversal of 12690536544 is 44563509621.

12690536544 is a `hidden beast` number, since 1 + 2 + 69 + 0 + 536 + 54 + 4 = 666.

It is a super-2 number, since 2×12690536544² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12690536544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12690536543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59694 + ... + 170130.

It is an arithmetic number, because the mean of its divisors is an integer number (231919800).

Almost surely, 2^12690536544 is an apocalyptic number.

12690536544 is a gapful number since it is divisible by the number (14) 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 12690536544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264300800).

12690536544 is an abundant number, since it is smaller than the sum of its proper divisors (31838065056).

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

12690536544 is a wasteful number, since it uses less digits than its factorization.

12690536544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110482 (or 110468 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 12690536544 in words is "twelve billion, six hundred ninety million, five hundred thirty-six thousand, five hundred forty-four".