10641068064225 has 81 divisors (see below), whose sum is σ = 19741849003513. Its totient is φ = 5478807794880.

The previous prime is 10641068064217. The next prime is 10641068064293. The reversal of 10641068064225 is 52246086014601.

It is a happy number.

The square root of 10641068064225 is 3262065.

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

10641068064225 is a `hidden beast` number, since 1 + 0 + 6 + 410 + 6 + 8 + 0 + 6 + 4 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146267237601 + 10494800826624 = 382449^2 + 3239568^2 .

It is not a de Polignac number, because 10641068064225 - 2³ = 10641068064217 is a prime.

It is a super-2 number, since 2×10641068064225² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1418994526 + ... + 1419002024.

Almost surely, 2^{10641068064225} is an apocalyptic number.

10641068064225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10641068064225 is the 3262065-th square number.

10641068064225 is the 1631033-rd centered octagonal number.

It is an amenable number.

10641068064225 is a deficient number, since it is larger than the sum of its proper divisors (9100780939288).

10641068064225 is an frugal number, since it uses more digits than its factorization.

10641068064225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15072 (or 7536 counting only the distinct ones).

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

The spelling of 10641068064225 in words is "ten trillion, six hundred forty-one billion, sixty-eight million, sixty-four thousand, two hundred twenty-five".