111881149952 has 480 divisors, whose sum is σ = 287411604480. Its totient is φ = 42805002240.

The previous prime is 111881149951. The next prime is 111881149957. The reversal of 111881149952 is 259941188111.

111881149952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 111881149952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111881149951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416217049 + ... + 1416217127.

It is an arithmetic number, because the mean of its divisors is an integer number (598774176).

Almost surely, 2^111881149952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111881149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143705802240).

111881149952 is an abundant number, since it is smaller than the sum of its proper divisors (175530454528).

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

111881149952 is a wasteful number, since it uses less digits than its factorization.

111881149952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 157 counting only the distinct ones).

The product of its digits is 207360, while the sum is 50.

The spelling of 111881149952 in words is "one hundred eleven billion, eight hundred eighty-one million, one hundred forty-nine thousand, nine hundred fifty-two".