193972251648 has 704 divisors, whose sum is σ = 642320695296. Its totient is φ = 50872320000.

The previous prime is 193972251647. The next prime is 193972251653. The reversal of 193972251648 is 846152279391.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (193972251647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1284584373 + ... + 1284584523.

Almost surely, 2^193972251648 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 193972251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321160347648).

193972251648 is an abundant number, since it is smaller than the sum of its proper divisors (448348443648).

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

193972251648 is a wasteful number, since it uses less digits than its factorization.

193972251648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 282 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The spelling of 193972251648 in words is "one hundred ninety-three billion, nine hundred seventy-two million, two hundred fifty-one thousand, six hundred forty-eight".