111110009999958 has 144 divisors (see below), whose sum is σ = 265816637115120. Its totient is φ = 34777519755264.

The previous prime is 111110009999957. The next prime is 111110009999969. The reversal of 111110009999958 is 859999900011111.

It is a junction number, because it is equal to n+sod(n) for n = 111110009999895 and 111110009999904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111110009999953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59903098 + ... + 61730066.

It is an arithmetic number, because the mean of its divisors is an integer number (1845948868855).

Almost surely, 2^{111110009999958} is an apocalyptic number.

111110009999958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111110009999958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132908318557560).

111110009999958 is an abundant number, since it is smaller than the sum of its proper divisors (154706627115162).

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

111110009999958 is a wasteful number, since it uses less digits than its factorization.

111110009999958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827453 (or 1827424 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 63.

The spelling of 111110009999958 in words is "one hundred eleven trillion, one hundred ten billion, nine million, nine hundred ninety-nine thousand, nine hundred fifty-eight".