23781734729104 has 135 divisors (see below), whose sum is σ = 51082266941251. Its totient is φ = 10717710699520.

The previous prime is 23781734729089. The next prime is 23781734729141. The reversal of 23781734729104 is 40192743718732.

The square root of 23781734729104 is 4876652.

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 5868118656400 + 17913616072704 = 2422420^2 + 4232448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29396457852 + ... + 29396458660.

Almost surely, 2^{23781734729104} is an apocalyptic number.

23781734729104 is the 4876652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23781734729104

23781734729104 is an abundant number, since it is smaller than the sum of its proper divisors (27300532212147).

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

23781734729104 is an frugal number, since it uses more digits than its factorization.

23781734729104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 58.

The spelling of 23781734729104 in words is "twenty-three trillion, seven hundred eighty-one billion, seven hundred thirty-four million, seven hundred twenty-nine thousand, one hundred four".