111995705952 has 144 divisors (see below), whose sum is σ = 344202073488. Its totient is φ = 34338124800.

The previous prime is 111995705933. The next prime is 111995705957. The reversal of 111995705952 is 259507599111.

111995705952 is a `hidden beast` number, since 1 + 1 + 19 + 9 + 570 + 5 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111995705957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006702 + ... + 1112402.

It is an arithmetic number, because the mean of its divisors is an integer number (2390292177).

Almost surely, 2^111995705952 is an apocalyptic number.

111995705952 is a gapful number since it is divisible by the number (12) 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 111995705952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172101036744).

111995705952 is an abundant number, since it is smaller than the sum of its proper divisors (232206367536).

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

111995705952 is a wasteful number, since it uses less digits than its factorization.

111995705952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106013 (or 106002 counting only the distinct ones).

The product of its (nonzero) digits is 1275750, while the sum is 54.

The spelling of 111995705952 in words is "one hundred eleven billion, nine hundred ninety-five million, seven hundred five thousand, nine hundred fifty-two".