10446644944129 has 27 divisors (see below), whose sum is σ = 10688447220129. Its totient is φ = 10210289193000.

The previous prime is 10446644944121. The next prime is 10446644944133. The reversal of 10446644944129 is 92144944664401.

The square root of 10446644944129 is 3232127.

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

It is not a de Polignac number, because 10446644944129 - 2³ = 10446644944121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10446644944121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41620099254 + ... + 41620099504.

Almost surely, 2^{10446644944129} is an apocalyptic number.

10446644944129 is the 3232127-th square number.

10446644944129 is the 1616064-th centered octagonal number.

It is an amenable number.

10446644944129 is a deficient number, since it is larger than the sum of its proper divisors (241802276000).

10446644944129 is an frugal number, since it uses more digits than its factorization.

10446644944129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 58.

The spelling of 10446644944129 in words is "ten trillion, four hundred forty-six billion, six hundred forty-four million, nine hundred forty-four thousand, one hundred twenty-nine".