111866187299328 has 1440 divisors, whose sum is σ = 434954351639808. Its totient is φ = 27274641408000.

The previous prime is 111866187299303. The next prime is 111866187299333. The reversal of 111866187299328 is 823992781668111.

It is a happy number.

111866187299328 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 6 + 6 + 1 + 8 + 7 + 299 + 328 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16931461401 + ... + 16931468007.

Almost surely, 2^{111866187299328} is an apocalyptic number.

111866187299328 is a gapful number since it is divisible by the number (18) 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 111866187299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217477175819904).

111866187299328 is an abundant number, since it is smaller than the sum of its proper divisors (323088164340480).

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

111866187299328 is a wasteful number, since it uses less digits than its factorization.

111866187299328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7048 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 72.

The spelling of 111866187299328 in words is "one hundred eleven trillion, eight hundred sixty-six billion, one hundred eighty-seven million, two hundred ninety-nine thousand, three hundred twenty-eight".