11331110411016 has 128 divisors (see below), whose sum is σ = 32334510182400. Its totient is φ = 3275429921280.

The previous prime is 11331110410979. The next prime is 11331110411041. The reversal of 11331110411016 is 61011401113311.

11331110411016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313981 + ... + 4770828.

It is an arithmetic number, because the mean of its divisors is an integer number (252613360800).

Almost surely, 2^{11331110411016} 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 11331110411016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167255091200).

11331110411016 is an abundant number, since it is smaller than the sum of its proper divisors (21003399771384).

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

11331110411016 is a wasteful number, since it uses less digits than its factorization.

11331110411016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085219 (or 5085215 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 11331110411016 its reverse (61011401113311), we get a palindrome (72342511524327).

The spelling of 11331110411016 in words is "eleven trillion, three hundred thirty-one billion, one hundred ten million, four hundred eleven thousand, sixteen".