10444098566952 has 24 divisors (see below), whose sum is σ = 28286100285690. Its totient is φ = 3481366188960.

The previous prime is 10444098566903. The next prime is 10444098566953. The reversal of 10444098566952 is 25966589044401.

10444098566952 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 409 + 85 + 66 + 95 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8912410153956 + 1531688412996 = 2985366^2 + 1237614^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10444098566952.

It is not an unprimeable number, because it can be changed into a prime (10444098566953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72528462199 + ... + 72528462342.

Almost surely, 2^{10444098566952} is an apocalyptic number.

10444098566952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10444098566952 is an abundant number, since it is smaller than the sum of its proper divisors (17842001718738).

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

10444098566952 is a wasteful number, since it uses less digits than its factorization.

10444098566952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145056924553 (or 145056924546 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 10444098566952 in words is "ten trillion, four hundred forty-four billion, ninety-eight million, five hundred sixty-six thousand, nine hundred fifty-two".