10468233766225 has 27 divisors (see below), whose sum is σ = 13341681843987. Its totient is φ = 8147780916480.

The previous prime is 10468233766219. The next prime is 10468233766261. The reversal of 10468233766225 is 52266733286401.

It is a happy number.

The square root of 10468233766225 is 3235465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9268998517009 + 1199235249216 = 3044503^2 + 1095096^2 .

It is not a de Polignac number, because 10468233766225 - 2²⁷ = 10468099548497 is a prime.

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, 598552281 + ... + 598569769.

Almost surely, 2^{10468233766225} is an apocalyptic number.

10468233766225 is the 3235465-th square number.

10468233766225 is the 1617733-rd centered octagonal number.

It is an amenable number.

10468233766225 is a deficient number, since it is larger than the sum of its proper divisors (2873448077762).

10468233766225 is an frugal number, since it uses more digits than its factorization.

10468233766225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35062 (or 17531 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 10468233766225 in words is "ten trillion, four hundred sixty-eight billion, two hundred thirty-three million, seven hundred sixty-six thousand, two hundred twenty-five".