11226694307328 has 960 divisors, whose sum is σ = 36310380986880. Its totient is φ = 3450427932672.

The previous prime is 11226694307291. The next prime is 11226694307341. The reversal of 11226694307328 is 82370349662211.

11226694307328 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 6 + 6 + 9 + 4 + 307 + 328 = 666.

It is a super-3 number, since 3×11226694307328³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 25573335333 + ... + 25573335771.

It is an arithmetic number, because the mean of its divisors is an integer number (37823313528).

Almost surely, 2^{11226694307328} is an apocalyptic number.

11226694307328 is a gapful number since it is divisible by the number (18) 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 11226694307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18155190493440).

11226694307328 is an abundant number, since it is smaller than the sum of its proper divisors (25083686679552).

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

11226694307328 is a wasteful number, since it uses less digits than its factorization.

11226694307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 11226694307328 in words is "eleven trillion, two hundred twenty-six billion, six hundred ninety-four million, three hundred seven thousand, three hundred twenty-eight".