10458038064321 has 135 divisors (see below), whose sum is σ = 16482512963763. Its totient is φ = 6607999427040.

The previous prime is 10458038064269. The next prime is 10458038064367. The reversal of 10458038064321 is 12346083085401.

The square root of 10458038064321 is 3233889.

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

10458038064321 is a `hidden beast` number, since 1 + 0 + 4 + 580 + 3 + 8 + 0 + 6 + 43 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9513184079025 + 944853985296 = 3084345^2 + 972036^2 .

It is not a de Polignac number, because 10458038064321 - 2²⁹ = 10457501193409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10458038060321) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 60451086991 + ... + 60451087163.

Almost surely, 2^{10458038064321} is an apocalyptic number.

10458038064321 is the 3233889-th square number.

10458038064321 is the 1616945-th centered octagonal number.

It is an amenable number.

10458038064321 is a deficient number, since it is larger than the sum of its proper divisors (6024474899442).

10458038064321 is an frugal number, since it uses more digits than its factorization.

10458038064321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10458038064321 in words is "ten trillion, four hundred fifty-eight billion, thirty-eight million, sixty-four thousand, three hundred twenty-one".