11045177243685 has 192 divisors, whose sum is σ = 21549000153600. Its totient is φ = 5431567415040.

The previous prime is 11045177243609. The next prime is 11045177243713. The reversal of 11045177243685 is 58634277154011.

11045177243685 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 517 + 7 + 2 + 43 + 6 + 85 = 666.

It is not a de Polignac number, because 11045177243685 - 2⁹ = 11045177243173 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1975525240 + ... + 1975530830.

It is an arithmetic number, because the mean of its divisors is an integer number (112234375800).

Almost surely, 2^{11045177243685} is an apocalyptic number.

11045177243685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11045177243685 is a deficient number, since it is larger than the sum of its proper divisors (10503822909915).

11045177243685 is an equidigital number, since it uses as much as digits as its factorization.

11045177243685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 11045177243685 in words is "eleven trillion, forty-five billion, one hundred seventy-seven million, two hundred forty-three thousand, six hundred eighty-five".