111891432240 has 1280 divisors, whose sum is σ = 483809034240. Its totient is φ = 23211048960.

The previous prime is 111891432199. The next prime is 111891432241. The reversal of 111891432240 is 42234198111.

111891432240 is a `hidden beast` number, since 1 + 1 + 189 + 1 + 432 + 2 + 40 = 666.

It is a super-2 number, since 2×111891432240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111891432195 and 111891432204.

It is not an unprimeable number, because it can be changed into a prime (111891432241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1045714267 + ... + 1045714373.

It is an arithmetic number, because the mean of its divisors is an integer number (377975808).

Almost surely, 2^111891432240 is an apocalyptic number.

111891432240 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 111891432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241904517120).

111891432240 is an abundant number, since it is smaller than the sum of its proper divisors (371917602000).

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

111891432240 is a wasteful number, since it uses less digits than its factorization.

111891432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 111891432240 in words is "one hundred eleven billion, eight hundred ninety-one million, four hundred thirty-two thousand, two hundred forty".