193214317464 has 224 divisors, whose sum is σ = 633437220000. Its totient is φ = 55203519168.

The previous prime is 193214317463. The next prime is 193214317511. The reversal of 193214317464 is 464713412391.

It is a happy number.

193214317464 is a `hidden beast` number, since 1 + 9 + 32 + 143 + 17 + 464 = 666.

193214317464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193214317463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1952082 + ... + 2048670.

Almost surely, 2^193214317464 is an apocalyptic number.

193214317464 is a gapful number since it is divisible by the number (14) 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 193214317464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316718610000).

193214317464 is an abundant number, since it is smaller than the sum of its proper divisors (440222902536).

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

193214317464 is an frugal number, since it uses more digits than its factorization.

193214317464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96634 (or 96601 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 193214317464 in words is "one hundred ninety-three billion, two hundred fourteen million, three hundred seventeen thousand, four hundred sixty-four".