193842438900 has 288 divisors, whose sum is σ = 641948246016. Its totient is φ = 44729280000.

The previous prime is 193842438863. The next prime is 193842438929. The reversal of 193842438900 is 9834248391.

193842438900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×193842438900² (a number of 23 digits) contains 22 as substring.

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, 6224769 + ... + 6255831.

Almost surely, 2^193842438900 is an apocalyptic number.

193842438900 is a gapful number since it is divisible by the number (10) 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 193842438900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320974123008).

193842438900 is an abundant number, since it is smaller than the sum of its proper divisors (448105807116).

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

193842438900 is a wasteful number, since it uses less digits than its factorization.

193842438900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31183 (or 31176 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 193842438900 in words is "one hundred ninety-three billion, eight hundred forty-two million, four hundred thirty-eight thousand, nine hundred".