111193471872 has 672 divisors, whose sum is σ = 392339301480. Its totient is φ = 31279675392.

The previous prime is 111193471849. The next prime is 111193471877. The reversal of 111193471872 is 278174391111.

111193471872 is a `hidden beast` number, since 1 + 1 + 11 + 93 + 471 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111193471877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 379499758 + ... + 379500050.

Almost surely, 2^111193471872 is an apocalyptic number.

111193471872 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 111193471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196169650740).

111193471872 is an abundant number, since it is smaller than the sum of its proper divisors (281145829608).

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

111193471872 is an frugal number, since it uses more digits than its factorization.

111193471872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 388 counting only the distinct ones).

The product of its digits is 84672, while the sum is 45.

The spelling of 111193471872 in words is "one hundred eleven billion, one hundred ninety-three million, four hundred seventy-one thousand, eight hundred seventy-two".