23201099829504 has 243 divisors, whose sum is σ = 69945432746007. Its totient is φ = 7395756622848.

The previous prime is 23201099829473. The next prime is 23201099829511. The reversal of 23201099829504 is 40592899010232.

The square root of 23201099829504 is 4816752.

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

23201099829504 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 109 + 9 + 8 + 29 + 504 = 666.

It is a super-2 number, since 2×23201099829504² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5317692027 + ... + 5317696389.

Almost surely, 2^{23201099829504} is an apocalyptic number.

23201099829504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23201099829504 is the 4816752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23201099829504

23201099829504 is an abundant number, since it is smaller than the sum of its proper divisors (46744332916503).

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

23201099829504 is an frugal number, since it uses more digits than its factorization.

23201099829504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 23201099829504 in words is "twenty-three trillion, two hundred one billion, ninety-nine million, eight hundred twenty-nine thousand, five hundred four".