11612963683776 has 448 divisors, whose sum is σ = 39601587787776. Its totient is φ = 2919142195200.

The previous prime is 11612963683697. The next prime is 11612963683801. The reversal of 11612963683776 is 67738636921611.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 112870116 + ... + 112972956.

It is an arithmetic number, because the mean of its divisors is an integer number (88396401312).

Almost surely, 2^{11612963683776} is an apocalyptic number.

11612963683776 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 11612963683776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19800793893888).

11612963683776 is an abundant number, since it is smaller than the sum of its proper divisors (27988624104000).

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

11612963683776 is a wasteful number, since it uses less digits than its factorization.

11612963683776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103180 (or 103170 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 66.

The spelling of 11612963683776 in words is "eleven trillion, six hundred twelve billion, nine hundred sixty-three million, six hundred eighty-three thousand, seven hundred seventy-six".