23843591340100 has 243 divisors, whose sum is σ = 61028669909277. Its totient is φ = 8062324320960.

The previous prime is 23843591339993. The next prime is 23843591340103. The reversal of 23843591340100 is 104319534832.

The square root of 23843591340100 is 4882990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8583692882436 + 15259898457664 = 2929794^2 + 3906392^2 .

It is not an unprimeable number, because it can be changed into a prime (23843591340103) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 27002934259 + ... + 27002935141.

Almost surely, 2^{23843591340100} is an apocalyptic number.

23843591340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23843591340100 is the 4882990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23843591340100

23843591340100 is an abundant number, since it is smaller than the sum of its proper divisors (37185078569177).

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

23843591340100 is an frugal number, since it uses more digits than its factorization.

23843591340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 23843591340100 in words is "twenty-three trillion, eight hundred forty-three billion, five hundred ninety-one million, three hundred forty thousand, one hundred".