193071312896 has 208 divisors, whose sum is σ = 485144149248. Its totient is φ = 74632396800.

The previous prime is 193071312883. The next prime is 193071312961. The reversal of 193071312896 is 698213170391.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41314016 + ... + 41318688.

Almost surely, 2^193071312896 is an apocalyptic number.

193071312896 is a gapful number since it is divisible by the number (16) 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 193071312896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242572074624).

193071312896 is an abundant number, since it is smaller than the sum of its proper divisors (292072836352).

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

193071312896 is a wasteful number, since it uses less digits than its factorization.

193071312896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 50.

The spelling of 193071312896 in words is "one hundred ninety-three billion, seventy-one million, three hundred twelve thousand, eight hundred ninety-six".