12613086864 has 225 divisors, whose sum is σ = 41396592419. Its totient is φ = 3584871360.

The previous prime is 12613086859. The next prime is 12613086869. The reversal of 12613086864 is 46868031621.

The square root of 12613086864 is 112308.

It is a perfect power (a square), and thus also a powerful number.

12613086864 is a `hidden beast` number, since 1 + 261 + 308 + 6 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12613086859) and next prime (12613086869).

It is not an unprimeable number, because it can be changed into a prime (12613086869) 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 44 ways as a sum of consecutive naturals, for example, 66037009 + ... + 66037199.

Almost surely, 2^12613086864 is an apocalyptic number.

12613086864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12613086864 is the 112308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12613086864

12613086864 is an abundant number, since it is smaller than the sum of its proper divisors (28783505555).

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

12613086864 is an frugal number, since it uses more digits than its factorization.

12613086864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12613086864 in words is "twelve billion, six hundred thirteen million, eighty-six thousand, eight hundred sixty-four".