111145991840 has 288 divisors, whose sum is σ = 305670217104. Its totient is φ = 37823938560.

The previous prime is 111145991837. The next prime is 111145991927. The reversal of 111145991840 is 48199541111.

It can be written as a sum of positive squares in 8 ways, for example, as 14148626704 + 96997365136 = 118948^2 + 311444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111145991791 and 111145991800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489629807 + ... + 489630033.

Almost surely, 2^111145991840 is an apocalyptic number.

111145991840 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 111145991840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152835108552).

111145991840 is an abundant number, since it is smaller than the sum of its proper divisors (194524225264).

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

111145991840 is a wasteful number, since it uses less digits than its factorization.

111145991840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 44.

The spelling of 111145991840 in words is "one hundred eleven billion, one hundred forty-five million, nine hundred ninety-one thousand, eight hundred forty".