111816771840 has 288 divisors, whose sum is σ = 409597977600. Its totient is φ = 28855664640.

The previous prime is 111816771827. The next prime is 111816771887. The reversal of 111816771840 is 48177618111.

111816771840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×111816771840³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019176 + ... + 1123544.

It is an arithmetic number, because the mean of its divisors is an integer number (1422215200).

Almost surely, 2^111816771840 is an apocalyptic number.

111816771840 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 111816771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204798988800).

111816771840 is an abundant number, since it is smaller than the sum of its proper divisors (297781205760).

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

111816771840 is a wasteful number, since it uses less digits than its factorization.

111816771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104430 (or 104410 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 45.

The spelling of 111816771840 in words is "one hundred eleven billion, eight hundred sixteen million, seven hundred seventy-one thousand, eight hundred forty".