111005828361 has 24 divisors (see below), whose sum is σ = 169233384320. Its totient is φ = 69920944416.

The previous prime is 111005828327. The next prime is 111005828383. The reversal of 111005828361 is 163828500111.

111005828361 is a `hidden beast` number, since 1 + 1 + 10 + 0 + 582 + 8 + 3 + 61 = 666.

It is not a de Polignac number, because 111005828361 - 2¹⁴ = 111005811977 is a prime.

It is a super-2 number, since 2×111005828361² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111005828261) 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 23 ways as a sum of consecutive naturals, for example, 806401 + ... + 933966.

Almost surely, 2^111005828361 is an apocalyptic number.

It is an amenable number.

111005828361 is a deficient number, since it is larger than the sum of its proper divisors (58227555959).

111005828361 is a wasteful number, since it uses less digits than its factorization.

111005828361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740765 (or 1740762 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 111005828361 in words is "one hundred eleven billion, five million, eight hundred twenty-eight thousand, three hundred sixty-one".