111500419968 has 256 divisors, whose sum is σ = 386260454400. Its totient is φ = 30996006912.

The previous prime is 111500419963. The next prime is 111500419969. The reversal of 111500419968 is 869914005111.

111500419968 is a `hidden beast` number, since 1 + 11 + 500 + 41 + 9 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111500419963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832821 + ... + 957387.

It is an arithmetic number, because the mean of its divisors is an integer number (1508829900).

Almost surely, 2^111500419968 is an apocalyptic number.

111500419968 is a gapful number since it is divisible by the number (18) 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 111500419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193130227200).

111500419968 is an abundant number, since it is smaller than the sum of its proper divisors (274760034432).

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

111500419968 is a wasteful number, since it uses less digits than its factorization.

111500419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124634 (or 124616 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 111500419968 in words is "one hundred eleven billion, five hundred million, four hundred nineteen thousand, nine hundred sixty-eight".