11016949965012 has 72 divisors (see below), whose sum is σ = 27970950407400. Its totient is φ = 3656163962880.

The previous prime is 11016949964989. The next prime is 11016949965013. The reversal of 11016949965012 is 21056994961011.

11016949965012 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 6 + 9 + 49 + 96 + 501 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4350453179076 + 6666496785936 = 2085774^2 + 2581956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11016949965012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11016949965013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34972318 + ... + 35285930.

It is an arithmetic number, because the mean of its divisors is an integer number (388485422325).

Almost surely, 2^{11016949965012} is an apocalyptic number.

11016949965012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11016949965012 is an abundant number, since it is smaller than the sum of its proper divisors (16954000442388).

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

11016949965012 is a wasteful number, since it uses less digits than its factorization.

11016949965012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317913 (or 317908 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 11016949965012 in words is "eleven trillion, sixteen billion, nine hundred forty-nine million, nine hundred sixty-five thousand, twelve".