111803413090824 has 2240 divisors, whose sum is σ = 409201603574400. Its totient is φ = 28441313961984.

The previous prime is 111803413090819. The next prime is 111803413090841. The reversal of 111803413090824 is 428090314308111.

111803413090824 is a `hidden beast` number, since 1 + 118 + 0 + 341 + 30 + 90 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 111803413090824.

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 1085470029957 + ... + 1085470030059.

It is an arithmetic number, because the mean of its divisors is an integer number (182679287310).

Almost surely, 2^{111803413090824} is an apocalyptic number.

111803413090824 is a gapful number since it is divisible by the number (14) 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 111803413090824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204600801787200).

111803413090824 is an abundant number, since it is smaller than the sum of its proper divisors (297398190483576).

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

111803413090824 is an equidigital number, since it uses as much as digits as its factorization.

111803413090824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

Adding to 111803413090824 its reverse (428090314308111), we get a palindrome (539893727398935).

The spelling of 111803413090824 in words is "one hundred eleven trillion, eight hundred three billion, four hundred thirteen million, ninety thousand, eight hundred twenty-four".