11077117345 has 16 divisors (see below), whose sum is σ = 15193196928. Its totient is φ = 7594876800.

The previous prime is 11077117333. The next prime is 11077117349. The reversal of 11077117345 is 54371177011.

11077117345 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 11077117345 - 2⁷ = 11077117217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11077117349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 538245 + ... + 558445.

It is an arithmetic number, because the mean of its divisors is an integer number (949574808).

Almost surely, 2^11077117345 is an apocalyptic number.

It is an amenable number.

11077117345 is a deficient number, since it is larger than the sum of its proper divisors (4116079583).

11077117345 is a wasteful number, since it uses less digits than its factorization.

11077117345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35880.

The product of its (nonzero) digits is 20580, while the sum is 37.

The spelling of 11077117345 in words is "eleven billion, seventy-seven million, one hundred seventeen thousand, three hundred forty-five".