111011011110090 has 768 divisors, whose sum is σ = 381766429384704. Its totient is φ = 21751699046400.

The previous prime is 111011011110049. The next prime is 111011011110113. The reversal of 111011011110090 is 90011110110111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 685675950 + ... + 685837830.

It is an arithmetic number, because the mean of its divisors is an integer number (497091704928).

Almost surely, 2^{111011011110090} is an apocalyptic number.

111011011110090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111011011110090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190883214692352).

111011011110090 is an abundant number, since it is smaller than the sum of its proper divisors (270755418274614).

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

111011011110090 is a wasteful number, since it uses less digits than its factorization.

111011011110090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162055 (or 162052 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 111011011110090 in words is "one hundred eleven trillion, eleven billion, eleven million, one hundred ten thousand, ninety".