193648885248 has 960 divisors, whose sum is σ = 690127257600. Its totient is φ = 47098920960.

The previous prime is 193648885211. The next prime is 193648885277. The reversal of 193648885248 is 842588846391.

193648885248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2451251673 + ... + 2451251751.

It is an arithmetic number, because the mean of its divisors is an integer number (718882560).

Almost surely, 2^193648885248 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 193648885248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345063628800).

193648885248 is an abundant number, since it is smaller than the sum of its proper divisors (496478372352).

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

193648885248 is a wasteful number, since it uses less digits than its factorization.

193648885248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 194 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 66.

The spelling of 193648885248 in words is "one hundred ninety-three billion, six hundred forty-eight million, eight hundred eighty-five thousand, two hundred forty-eight".