11311105289424 has 160 divisors (see below), whose sum is σ = 31245424164864. Its totient is φ = 3513472481280.

The previous prime is 11311105289401. The next prime is 11311105289453. The reversal of 11311105289424 is 42498250111311.

It is a super-2 number, since 2×11311105289424² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 647413009 + ... + 647430479.

Almost surely, 2^{11311105289424} 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 11311105289424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15622712082432).

11311105289424 is an abundant number, since it is smaller than the sum of its proper divisors (19934318875440).

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

11311105289424 is a wasteful number, since it uses less digits than its factorization.

11311105289424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25305 (or 25299 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 11311105289424 in words is "eleven trillion, three hundred eleven billion, one hundred five million, two hundred eighty-nine thousand, four hundred twenty-four".