193242512448 has 168 divisors, whose sum is σ = 573477953880. Its totient is φ = 62140538880.

The previous prime is 193242512443. The next prime is 193242512467. The reversal of 193242512448 is 844215242391.

193242512448 is a `hidden beast` number, since 1 + 93 + 2 + 4 + 2 + 512 + 4 + 48 = 666.

193242512448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6452587584 + 186789924864 = 80328^2 + 432192^2 .

It is not an unprimeable number, because it can be changed into a prime (193242512443) 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 23 ways as a sum of consecutive naturals, for example, 23064036 + ... + 23072412.

Almost surely, 2^193242512448 is an apocalyptic number.

193242512448 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 193242512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286738976940).

193242512448 is an abundant number, since it is smaller than the sum of its proper divisors (380235441432).

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

193242512448 is a wasteful number, since it uses less digits than its factorization.

193242512448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9805 (or 9792 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 193242512448 in words is "one hundred ninety-three billion, two hundred forty-two million, five hundred twelve thousand, four hundred forty-eight".