193468432248 has 288 divisors, whose sum is σ = 657224436960. Its totient is φ = 50961415680.

The previous prime is 193468432217. The next prime is 193468432259. The reversal of 193468432248 is 842234864391.

It is a happy number.

193468432248 is a `hidden beast` number, since 19 + 346 + 8 + 43 + 2 + 248 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 193468432194 and 193468432203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45724293 + ... + 45728523.

It is an arithmetic number, because the mean of its divisors is an integer number (2282029295).

Almost surely, 2^193468432248 is an apocalyptic number.

193468432248 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 193468432248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328612218480).

193468432248 is an abundant number, since it is smaller than the sum of its proper divisors (463756004712).

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

193468432248 is a wasteful number, since it uses less digits than its factorization.

193468432248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5253 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 193468432248 in words is "one hundred ninety-three billion, four hundred sixty-eight million, four hundred thirty-two thousand, two hundred forty-eight".