191322813138600 has 1536 divisors, whose sum is σ = 754107094056960. Its totient is φ = 39412899840000.

The previous prime is 191322813138547. The next prime is 191322813138637. The reversal of 191322813138600 is 6831318223191.

It is a Cunningham number, because it is equal to 13831949²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 191322813138600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12227435977 + ... + 12227451623.

It is an arithmetic number, because the mean of its divisors is an integer number (490955139360).

Almost surely, 2^{191322813138600} is an apocalyptic number.

191322813138600 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 191322813138600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377053547028480).

191322813138600 is an abundant number, since it is smaller than the sum of its proper divisors (562784280918360).

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

191322813138600 is a wasteful number, since it uses less digits than its factorization.

191322813138600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15891 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 191322813138600 in words is "one hundred ninety-one trillion, three hundred twenty-two billion, eight hundred thirteen million, one hundred thirty-eight thousand, six hundred".