11115134452305 has 144 divisors (see below), whose sum is σ = 21302547632496. Its totient is φ = 5357674782720.

The previous prime is 11115134452223. The next prime is 11115134452321. The reversal of 11115134452305 is 50325443151111.

11115134452305 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 5 + 1 + 344 + 5 + 2 + 305 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 6902016954561 + 4213117497744 = 2627169^2 + 2052588^2 .

It is not a de Polignac number, because 11115134452305 - 2⁹ = 11115134451793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11115134452305.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75984535 + ... + 76130675.

It is an arithmetic number, because the mean of its divisors is an integer number (147934358559).

Almost surely, 2^{11115134452305} is an apocalyptic number.

11115134452305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11115134452305 is a deficient number, since it is larger than the sum of its proper divisors (10187413180191).

11115134452305 is a wasteful number, since it uses less digits than its factorization.

11115134452305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146388 (or 146372 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11115134452305 in words is "eleven trillion, one hundred fifteen billion, one hundred thirty-four million, four hundred fifty-two thousand, three hundred five".