193134620028384 has 288 divisors, whose sum is σ = 555161116386240. Its totient is φ = 63686110150656.

The previous prime is 193134620028331. The next prime is 193134620028451. The reversal of 193134620028384 is 483820026431391.

193134620028384 is a `hidden beast` number, since 1 + 9 + 3 + 1 + 3 + 4 + 620 + 0 + 2 + 8 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×193134620028384² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 193134620028384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25170675172 + ... + 25170682844.

It is an arithmetic number, because the mean of its divisors is an integer number (1927642765230).

Almost surely, 2^{193134620028384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193134620028384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277580558193120).

193134620028384 is an abundant number, since it is smaller than the sum of its proper divisors (362026496357856).

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

193134620028384 is a wasteful number, since it uses less digits than its factorization.

193134620028384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 193134620028384 in words is "one hundred ninety-three trillion, one hundred thirty-four billion, six hundred twenty million, twenty-eight thousand, three hundred eighty-four".