12611868913728 has 1344 divisors, whose sum is σ = 47590877030400. Its totient is φ = 3250661621760.

The previous prime is 12611868913691. The next prime is 12611868913739. The reversal of 12611868913728 is 82731986811621.

12611868913728 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 186 + 89 + 1 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4863812400 + ... + 4863814992.

Almost surely, 2^{12611868913728} is an apocalyptic number.

12611868913728 is a gapful number since it is divisible by the number (18) 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 12611868913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23795438515200).

12611868913728 is an abundant number, since it is smaller than the sum of its proper divisors (34979008116672).

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

12611868913728 is a wasteful number, since it uses less digits than its factorization.

12611868913728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2762 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 12611868913728 in words is "twelve trillion, six hundred eleven billion, eight hundred sixty-eight million, nine hundred thirteen thousand, seven hundred twenty-eight".