191666372352 has 288 divisors, whose sum is σ = 660878507520. Its totient is φ = 47888547840.

The previous prime is 191666372327. The next prime is 191666372369. The reversal of 191666372352 is 253273666191.

It is a happy number.

191666372352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 191666372295 and 191666372304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255702 + ... + 1400042.

It is an arithmetic number, because the mean of its divisors is an integer number (2294717040).

Almost surely, 2^191666372352 is an apocalyptic number.

191666372352 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 191666372352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330439253760).

191666372352 is an abundant number, since it is smaller than the sum of its proper divisors (469212135168).

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

191666372352 is a wasteful number, since it uses less digits than its factorization.

191666372352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144399 (or 144385 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

It can be divided in two parts, 1916663 and 72352, that added together give a triangular number (1989015 = T₁₉₉₄).

The spelling of 191666372352 in words is "one hundred ninety-one billion, six hundred sixty-six million, three hundred seventy-two thousand, three hundred fifty-two".