191187968163072 has 648 divisors, whose sum is σ = 561073085471808. Its totient is φ = 57781536030720.

The previous prime is 191187968163047. The next prime is 191187968163149. The reversal of 191187968163072 is 270361869781191.

It is a super-4 number, since 4×191187968163072⁴ (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 191187968162988 and 191187968163006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49697936253 + ... + 49697940099.

Almost surely, 2^{191187968163072} is an apocalyptic number.

191187968163072 is a gapful number since it is divisible by the number (12) 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 191187968163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280536542735904).

191187968163072 is an abundant number, since it is smaller than the sum of its proper divisors (369885117308736).

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

191187968163072 is a wasteful number, since it uses less digits than its factorization.

191187968163072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 69.

The spelling of 191187968163072 in words is "one hundred ninety-one trillion, one hundred eighty-seven billion, nine hundred sixty-eight million, one hundred sixty-three thousand, seventy-two".