11642611416216 has 128 divisors (see below), whose sum is σ = 32153748802560. Its totient is φ = 3483704246400.

The previous prime is 11642611416203. The next prime is 11642611416287. The reversal of 11642611416216 is 61261411624611.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 8000871 + ... + 9343401.

It is an arithmetic number, because the mean of its divisors is an integer number (251201162520).

Almost surely, 2^{11642611416216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11642611416216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076874401280).

11642611416216 is an abundant number, since it is smaller than the sum of its proper divisors (20511137386344).

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

11642611416216 is a wasteful number, since it uses less digits than its factorization.

11642611416216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342965 (or 1342961 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The spelling of 11642611416216 in words is "eleven trillion, six hundred forty-two billion, six hundred eleven million, four hundred sixteen thousand, two hundred sixteen".