10264539484224 has 63 divisors (see below), whose sum is σ = 29421669510493. Its totient is φ = 3421487530752.

The previous prime is 10264539484219. The next prime is 10264539484249. The reversal of 10264539484224 is 42248493546201.

The square root of 10264539484224 is 3203832.

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

10264539484224 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 4 + 539 + 4 + 84 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8690939841600 + 1573599642624 = 2948040^2 + 1254432^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 76825222 + ... + 76958714.

Almost surely, 2^{10264539484224} is an apocalyptic number.

10264539484224 is the 3203832-nd square number.

It is an amenable number.

10264539484224 is an abundant number, since it is smaller than the sum of its proper divisors (19157130026269).

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

10264539484224 is an frugal number, since it uses more digits than its factorization.

10264539484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267004 (or 133498 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 10264539484224 in words is "ten trillion, two hundred sixty-four billion, five hundred thirty-nine million, four hundred eighty-four thousand, two hundred twenty-four".