193813552128 has 704 divisors, whose sum is σ = 653281348608. Its totient is φ = 49828331520.

The previous prime is 193813552123. The next prime is 193813552151. The reversal of 193813552128 is 821255318391.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193813552123) 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, 1004215200 + ... + 1004215392.

Almost surely, 2^193813552128 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 193813552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326640674304).

193813552128 is an abundant number, since it is smaller than the sum of its proper divisors (459467796480).

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

193813552128 is a wasteful number, since it uses less digits than its factorization.

193813552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The spelling of 193813552128 in words is "one hundred ninety-three billion, eight hundred thirteen million, five hundred fifty-two thousand, one hundred twenty-eight".