11217794681856 has 528 divisors, whose sum is σ = 35962670699520. Its totient is φ = 3096545034240.

The previous prime is 11217794681833. The next prime is 11217794681869. The reversal of 11217794681856 is 65818649771211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3448444326 + ... + 3448447578.

Almost surely, 2^{11217794681856} is an apocalyptic number.

11217794681856 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 11217794681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17981335349760).

11217794681856 is an abundant number, since it is smaller than the sum of its proper divisors (24744876017664).

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

11217794681856 is a wasteful number, since it uses less digits than its factorization.

11217794681856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4035 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 66.

The spelling of 11217794681856 in words is "eleven trillion, two hundred seventeen billion, seven hundred ninety-four million, six hundred eighty-one thousand, eight hundred fifty-six".