111180433840 has 160 divisors (see below), whose sum is σ = 313276377600. Its totient is φ = 35822088192.

The previous prime is 111180433829. The next prime is 111180433853. The reversal of 111180433840 is 48334081111.

It is a super-2 number, since 2×111180433840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 111180433796 and 111180433805.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6493611 + ... + 6510709.

It is an arithmetic number, because the mean of its divisors is an integer number (1957977360).

Almost surely, 2^111180433840 is an apocalyptic number.

111180433840 is a gapful number since it is divisible by the number (10) 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 111180433840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156638188800).

111180433840 is an abundant number, since it is smaller than the sum of its proper divisors (202095943760).

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

111180433840 is a wasteful number, since it uses less digits than its factorization.

111180433840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17819 (or 17813 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 111180433840 in words is "one hundred eleven billion, one hundred eighty million, four hundred thirty-three thousand, eight hundred forty".