10944657009441 has 9 divisors (see below), whose sum is σ = 15808963349491. Its totient is φ = 7296431389752.

The previous prime is 10944657009413. The next prime is 10944657009463. The reversal of 10944657009441 is 14490075644901.

It is a happy number.

The square root of 10944657009441 is 3308271.

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

10944657009441 is a `hidden beast` number, since 1 + 0 + 9 + 446 + 5 + 70 + 0 + 94 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5735790225 + 10938921219216 = 75735^2 + 3307404^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10944657009441 - 2¹¹ = 10944657007393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10944657009541) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9373435 + ... + 10476191.

Almost surely, 2^{10944657009441} is an apocalyptic number.

10944657009441 is the 3308271-st square number.

10944657009441 is the 1654136-th centered octagonal number.

It is an amenable number.

10944657009441 is a deficient number, since it is larger than the sum of its proper divisors (4864306340050).

10944657009441 is an frugal number, since it uses more digits than its factorization.

10944657009441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205520 (or 1102760 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10944657009441 in words is "ten trillion, nine hundred forty-four billion, six hundred fifty-seven million, nine thousand, four hundred forty-one".