11007745336 has 128 divisors (see below), whose sum is σ = 24615360000. Its totient is φ = 4611914496.

The previous prime is 11007745321. The next prime is 11007745379. The reversal of 11007745336 is 63354770011.

It is a junction number, because it is equal to n+sod(n) for n = 11007745295 and 11007745304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35855695 + ... + 35856001.

It is an arithmetic number, because the mean of its divisors is an integer number (192307500).

Almost surely, 2^11007745336 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 11007745336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307680000).

11007745336 is an abundant number, since it is smaller than the sum of its proper divisors (13607614664).

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

11007745336 is a wasteful number, since it uses less digits than its factorization.

11007745336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 11007745336 in words is "eleven billion, seven million, seven hundred forty-five thousand, three hundred thirty-six".