111117921647160 has 512 divisors, whose sum is σ = 358589617920000. Its totient is φ = 27463573831680.

The previous prime is 111117921647153. The next prime is 111117921647177. The reversal of 111117921647160 is 61746129711111.

111117921647160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111117921647160² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11191245076 + ... + 11191255004.

It is an arithmetic number, because the mean of its divisors is an integer number (700370347500).

Almost surely, 2^{111117921647160} is an apocalyptic number.

111117921647160 is a gapful number since it is divisible by the number (10) 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 111117921647160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179294808960000).

111117921647160 is an abundant number, since it is smaller than the sum of its proper divisors (247471696272840).

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

111117921647160 is a wasteful number, since it uses less digits than its factorization.

111117921647160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10555 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 48.

The spelling of 111117921647160 in words is "one hundred eleven trillion, one hundred seventeen billion, nine hundred twenty-one million, six hundred forty-seven thousand, one hundred sixty".