11007745335 has 24 divisors (see below), whose sum is σ = 19152660384. Its totient is φ = 5848468800.

The previous prime is 11007745321. The next prime is 11007745379. The reversal of 11007745335 is 53354770011.

11007745335 is a `hidden beast` number, since 1 + 100 + 77 + 453 + 35 = 666.

11007745335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11007745335 - 2¹⁷ = 11007614263 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11007745335.

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 23 ways as a sum of consecutive naturals, for example, 453216 + ... + 476885.

It is an arithmetic number, because the mean of its divisors is an integer number (798027516).

Almost surely, 2^11007745335 is an apocalyptic number.

11007745335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11007745335 is a deficient number, since it is larger than the sum of its proper divisors (8144915049).

11007745335 is a wasteful number, since it uses less digits than its factorization.

11007745335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930375 (or 930372 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 11007745335 in words is "eleven billion, seven million, seven hundred forty-five thousand, three hundred thirty-five".