111958245756 has 144 divisors (see below), whose sum is σ = 334822488000. Its totient is φ = 30863379456.

The previous prime is 111958245701. The next prime is 111958245767. The reversal of 111958245756 is 657542859111.

111958245756 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 582 + 4 + 5 + 7 + 56 = 666.

111958245756 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 12367920 + ... + 12376968.

Almost surely, 2^111958245756 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 111958245756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167411244000).

111958245756 is an abundant number, since it is smaller than the sum of its proper divisors (222864242244).

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

111958245756 is a wasteful number, since it uses less digits than its factorization.

111958245756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10788 (or 10783 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 111958245756 in words is "one hundred eleven billion, nine hundred fifty-eight million, two hundred forty-five thousand, seven hundred fifty-six".