111164042686096 has 45 divisors (see below), whose sum is σ = 215884442758089. Its totient is φ = 55452231645888.

The previous prime is 111164042686093. The next prime is 111164042686111. The reversal of 111164042686096 is 690686240461111.

It is a happy number.

The square root of 111164042686096 is 10543436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13651103667600 + 97512939018496 = 3694740^2 + 9874864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111164042686093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19526440626 + ... + 19526446318.

Almost surely, 2^{111164042686096} is an apocalyptic number.

111164042686096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111164042686096 is the 10543436-th square number.

It is an amenable number.

111164042686096 is a deficient number, since it is larger than the sum of its proper divisors (104720400071993).

111164042686096 is an frugal number, since it uses more digits than its factorization.

111164042686096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 6158 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 111164042686096 in words is "one hundred eleven trillion, one hundred sixty-four billion, forty-two million, six hundred eighty-six thousand, ninety-six".