191331082696160 has 384 divisors, whose sum is σ = 517168057319424. Its totient is φ = 66211961333760.

The previous prime is 191331082696153. The next prime is 191331082696177. The reversal of 191331082696160 is 61696280133191.

It is a junction number, because it is equal to n+sod(n) for n = 191331082696096 and 191331082696105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17936723147 + ... + 17936733813.

It is an arithmetic number, because the mean of its divisors is an integer number (1346791815936).

Almost surely, 2^{191331082696160} is an apocalyptic number.

191331082696160 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 191331082696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258584028659712).

191331082696160 is an abundant number, since it is smaller than the sum of its proper divisors (325836974623264).

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

191331082696160 is a wasteful number, since it uses less digits than its factorization.

191331082696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12926 (or 12918 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 56.

The spelling of 191331082696160 in words is "one hundred ninety-one trillion, three hundred thirty-one billion, eighty-two million, six hundred ninety-six thousand, one hundred sixty".