10264404923721 has 135 divisors (see below), whose sum is σ = 16809088471461. Its totient is φ = 6239280954816.

The previous prime is 10264404923659. The next prime is 10264404923761. The reversal of 10264404923721 is 12732940446201.

The square root of 10264404923721 is 3203811.

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

10264404923721 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 4 + 404 + 9 + 237 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 639022773321 + 9625382150400 = 799389^2 + 3102480^2 .

It is not a de Polignac number, because 10264404923721 - 2¹⁵ = 10264404890953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10264404923761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 52103578195 + ... + 52103578391.

Almost surely, 2^{10264404923721} is an apocalyptic number.

10264404923721 is the 3203811-st square number.

10264404923721 is the 1601906-th centered octagonal number.

It is an amenable number.

10264404923721 is a deficient number, since it is larger than the sum of its proper divisors (6544683547740).

10264404923721 is an frugal number, since it uses more digits than its factorization.

10264404923721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10264404923721 in words is "ten trillion, two hundred sixty-four billion, four hundred four million, nine hundred twenty-three thousand, seven hundred twenty-one".