10991741648916 has 192 divisors, whose sum is σ = 31802023249920. Its totient is φ = 2884803102720.

The previous prime is 10991741648911. The next prime is 10991741648947. The reversal of 10991741648916 is 61984614719901.

It is a happy number.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10991741648911) by changing a digit.

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, 8817496 + ... + 9986576.

It is an arithmetic number, because the mean of its divisors is an integer number (165635537760).

Almost surely, 2^{10991741648916} 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 10991741648916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901011624960).

10991741648916 is an abundant number, since it is smaller than the sum of its proper divisors (20810281601004).

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

10991741648916 is a wasteful number, since it uses less digits than its factorization.

10991741648916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169294 (or 1169292 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 66.

The spelling of 10991741648916 in words is "ten trillion, nine hundred ninety-one billion, seven hundred forty-one million, six hundred forty-eight thousand, nine hundred sixteen".