11268850656 has 384 divisors, whose sum is σ = 37492761600. Its totient is φ = 2950348800.

The previous prime is 11268850603. The next prime is 11268850669. The reversal of 11268850656 is 65605886211.

11268850656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22950571 + ... + 22951061.

It is an arithmetic number, because the mean of its divisors is an integer number (97637400).

Almost surely, 2^11268850656 is an apocalyptic number.

11268850656 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 11268850656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746380800).

11268850656 is an abundant number, since it is smaller than the sum of its proper divisors (26223910944).

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

11268850656 is a wasteful number, since it uses less digits than its factorization.

11268850656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 11268850656 in words is "eleven billion, two hundred sixty-eight million, eight hundred fifty thousand, six hundred fifty-six".