11261664128 has 256 divisors, whose sum is σ = 27636940800. Its totient is φ = 4501094400.

The previous prime is 11261664121. The next prime is 11261664191. The reversal of 11261664128 is 82146616211.

It is a junction number, because it is equal to n+sod(n) for n = 11261664091 and 11261664100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261664121) 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 31 ways as a sum of consecutive naturals, for example, 50500625 + ... + 50500847.

It is an arithmetic number, because the mean of its divisors is an integer number (107956800).

Almost surely, 2^11261664128 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 11261664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818470400).

11261664128 is an abundant number, since it is smaller than the sum of its proper divisors (16375276672).

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

11261664128 is a wasteful number, since it uses less digits than its factorization.

11261664128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The spelling of 11261664128 in words is "eleven billion, two hundred sixty-one million, six hundred sixty-four thousand, one hundred twenty-eight".