11012260266144 has 144 divisors (see below), whose sum is σ = 31707629913960. Its totient is φ = 3625025863680.

The previous prime is 11012260266107. The next prime is 11012260266149. The reversal of 11012260266144 is 44166206221011.

11012260266144 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 2 + 602 + 6 + 6 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10002114662544 + 1010145603600 = 3162612^2 + 1005060^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11012260266099 and 11012260266108.

It is not an unprimeable number, because it can be changed into a prime (11012260266149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12450952 + ... + 13306040.

Almost surely, 2^{11012260266144} 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 11012260266144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853814956980).

11012260266144 is an abundant number, since it is smaller than the sum of its proper divisors (20695369647816).

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

11012260266144 is a wasteful number, since it uses less digits than its factorization.

11012260266144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855663 (or 855652 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 11012260266144 its reverse (44166206221011), we get a palindrome (55178466487155).

The spelling of 11012260266144 in words is "eleven trillion, twelve billion, two hundred sixty million, two hundred sixty-six thousand, one hundred forty-four".