23009856100 has 243 divisors, whose sum is σ = 64169518539. Its totient is φ = 7135497600.

The previous prime is 23009856097. The next prime is 23009856131. The reversal of 23009856100 is 165890032.

The square root of 23009856100 is 151690.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5305956964 + 17703899136 = 72842^2 + 133056^2 .

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 80 ways as a sum of consecutive naturals, for example, 116801202 + ... + 116801398.

Almost surely, 2^23009856100 is an apocalyptic number.

23009856100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23009856100 is the 151690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23009856100

23009856100 is an abundant number, since it is smaller than the sum of its proper divisors (41159662439).

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

23009856100 is a wasteful number, since it uses less digits than its factorization.

23009856100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 23009856100 in words is "twenty-three billion, nine million, eight hundred fifty-six thousand, one hundred".