111640590917328 has 160 divisors (see below), whose sum is σ = 328558698040320. Its totient is φ = 32334365240320.

The previous prime is 111640590917281. The next prime is 111640590917389. The reversal of 111640590917328 is 823719095046111.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11998108 + ... + 19163396.

It is an arithmetic number, because the mean of its divisors is an integer number (2053491862752).

It is a 1-persistent number, because it is pandigital, but 2⋅111640590917328 = 223281181834656 is not.

Almost surely, 2^{111640590917328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111640590917328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164279349020160).

111640590917328 is an abundant number, since it is smaller than the sum of its proper divisors (216918107122992).

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

111640590917328 is a wasteful number, since it uses less digits than its factorization.

111640590917328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166617 (or 7166611 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 111640590917328 in words is "one hundred eleven trillion, six hundred forty billion, five hundred ninety million, nine hundred seventeen thousand, three hundred twenty-eight".