11010311061216 has 96 divisors (see below), whose sum is σ = 29182602758400. Its totient is φ = 3634611763200.

The previous prime is 11010311061157. The next prime is 11010311061251. The reversal of 11010311061216 is 61216011301011.

11010311061216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×11010311061216³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4322125 + ... + 6379763.

It is an arithmetic number, because the mean of its divisors is an integer number (303985445400).

Almost surely, 2^{11010311061216} is an apocalyptic number.

11010311061216 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 11010311061216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591301379200).

11010311061216 is an abundant number, since it is smaller than the sum of its proper divisors (18172291697184).

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

11010311061216 is a wasteful number, since it uses less digits than its factorization.

11010311061216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058192 (or 2058184 counting only the distinct ones).

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

Adding to 11010311061216 its reverse (61216011301011), we get a palindrome (72226322362227).

The spelling of 11010311061216 in words is "eleven trillion, ten billion, three hundred eleven million, sixty-one thousand, two hundred sixteen".