111086390016 has 324 divisors, whose sum is σ = 384612481344. Its totient is φ = 30714163200.

The previous prime is 111086389991. The next prime is 111086390059. The reversal of 111086390016 is 610093680111.

It is a happy number.

111086390016 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 8 + 639 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 3483906 + ... + 3515646.

Almost surely, 2^111086390016 is an apocalyptic number.

111086390016 is a gapful number since it is divisible by the number (16) 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 111086390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192306240672).

111086390016 is an abundant number, since it is smaller than the sum of its proper divisors (273526091328).

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

111086390016 is a wasteful number, since it uses less digits than its factorization.

111086390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31808 (or 31784 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 111086390016 in words is "one hundred eleven billion, eighty-six million, three hundred ninety thousand, sixteen".