193835470968 has 96 divisors (see below), whose sum is σ = 542494742400. Its totient is φ = 62459596800.

The previous prime is 193835470921. The next prime is 193835470987. The reversal of 193835470968 is 869074538391.

193835470968 is a `hidden beast` number, since 1 + 9 + 3 + 83 + 547 + 0 + 9 + 6 + 8 = 666.

193835470968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026788 + ... + 2120268.

It is an arithmetic number, because the mean of its divisors is an integer number (5650986900).

Almost surely, 2^193835470968 is an apocalyptic number.

193835470968 is a gapful number since it is divisible by the number (18) 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 193835470968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271247371200).

193835470968 is an abundant number, since it is smaller than the sum of its proper divisors (348659271432).

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

193835470968 is a wasteful number, since it uses less digits than its factorization.

193835470968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94453 (or 94446 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 193835470968 in words is "one hundred ninety-three billion, eight hundred thirty-five million, four hundred seventy thousand, nine hundred sixty-eight".