111670128867864 has 256 divisors, whose sum is σ = 339246717788160. Its totient is φ = 29957008896000.

The previous prime is 111670128867863. The next prime is 111670128867901. The reversal of 111670128867864 is 468768821076111.

It is a junction number, because it is equal to n+sod(n) for n = 111670128867795 and 111670128867804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111670128867863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37203882 + ... + 40093254.

It is an arithmetic number, because the mean of its divisors is an integer number (1325182491360).

Almost surely, 2^{111670128867864} is an apocalyptic number.

111670128867864 is a gapful number since it is divisible by the number (14) 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 111670128867864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169623358894080).

111670128867864 is an abundant number, since it is smaller than the sum of its proper divisors (227576588920296).

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

111670128867864 is a wasteful number, since it uses less digits than its factorization.

111670128867864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889642 (or 2889638 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 66.

The spelling of 111670128867864 in words is "one hundred eleven trillion, six hundred seventy billion, one hundred twenty-eight million, eight hundred sixty-seven thousand, eight hundred sixty-four".