111485673 has 64 divisors (see below), whose sum is σ = 190624000. Its totient is φ = 63825408.

The previous prime is 111485663. The next prime is 111485701. The reversal of 111485673 is 376584111.

111485673 is a `hidden beast` number, since 111 + 485 + 67 + 3 = 666.

It is not a de Polignac number, because 111485673 - 2⁸ = 111485417 is a prime.

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 111485673 = 185³ + 472³ = 222³ + 465³.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111485603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486723 + ... + 486951.

It is an arithmetic number, because the mean of its divisors is an integer number (2978500).

Almost surely, 2^111485673 is an apocalyptic number.

111485673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111485673 is a deficient number, since it is larger than the sum of its proper divisors (79138327).

111485673 is a wasteful number, since it uses less digits than its factorization.

111485673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 111485673 is about 10558.6776160654. The cubic root of 111485673 is about 481.2894625986.

The spelling of 111485673 in words is "one hundred eleven million, four hundred eighty-five thousand, six hundred seventy-three".