111609356064192 has 336 divisors, whose sum is σ = 381854826961920. Its totient is φ = 30500663187456.

The previous prime is 111609356064191. The next prime is 111609356064233. The reversal of 111609356064192 is 291460653906111.

111609356064192 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 0 + 9 + 3 + 560 + 64 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×111609356064192² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111609356064191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2461753 + ... + 15141959.

Almost surely, 2^{111609356064192} is an apocalyptic number.

111609356064192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111609356064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190927413480960).

111609356064192 is an abundant number, since it is smaller than the sum of its proper divisors (270245470897728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111609356064192 is a wasteful number, since it uses less digits than its factorization.

111609356064192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680328 (or 12680315 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 111609356064192 in words is "one hundred eleven trillion, six hundred nine billion, three hundred fifty-six million, sixty-four thousand, one hundred ninety-two".