11191671441216 has 672 divisors, whose sum is σ = 37991491200000. Its totient is φ = 3148140183552.

The previous prime is 11191671441211. The next prime is 11191671441229. The reversal of 11191671441216 is 61214417619111.

11191671441216 is a `hidden beast` number, since 1 + 1 + 191 + 6 + 7 + 1 + 441 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11191671441211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7007933730 + ... + 7007935326.

Almost surely, 2^{11191671441216} is an apocalyptic number.

11191671441216 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 11191671441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995745600000).

11191671441216 is an abundant number, since it is smaller than the sum of its proper divisors (26799819758784).

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

11191671441216 is a wasteful number, since it uses less digits than its factorization.

11191671441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2137 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The spelling of 11191671441216 in words is "eleven trillion, one hundred ninety-one billion, six hundred seventy-one million, four hundred forty-one thousand, two hundred sixteen".