11286821693664 has 144 divisors (see below), whose sum is σ = 35028184215024. Its totient is φ = 3418941542400.

The previous prime is 11286821693611. The next prime is 11286821693681. The reversal of 11286821693664 is 46639612868211.

11286821693664 is a `hidden beast` number, since 11 + 28 + 6 + 82 + 169 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7623672 + ... + 8982984.

It is an arithmetic number, because the mean of its divisors is an integer number (243251279271).

Almost surely, 2^{11286821693664} 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 11286821693664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514092107512).

11286821693664 is an abundant number, since it is smaller than the sum of its proper divisors (23741362521360).

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

11286821693664 is a wasteful number, since it uses less digits than its factorization.

11286821693664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361961 (or 1361950 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 11286821693664 in words is "eleven trillion, two hundred eighty-six billion, eight hundred twenty-one million, six hundred ninety-three thousand, six hundred sixty-four".