6610447224241 has 45 divisors (see below), whose sum is σ = 7788766500011. Its totient is φ = 5610053240736.

The previous prime is 6610447224211. The next prime is 6610447224253. The reversal of 6610447224241 is 1424227440166.

The square root of 6610447224241 is 2571079.

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

It can be written as a sum of positive squares in only one way, i.e., 3883008186225 + 2727439038016 = 1970535^2 + 1651496^2 .

It is not a de Polignac number, because 6610447224241 - 2¹⁹ = 6610446699953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6610447224211) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17259653136 + ... + 17259653518.

Almost surely, 2^{6610447224241} is an apocalyptic number.

6610447224241 is the 2571079-th square number.

6610447224241 is the 1285540-th centered octagonal number.

It is an amenable number.

6610447224241 is a deficient number, since it is larger than the sum of its proper divisors (1178319275770).

6610447224241 is an frugal number, since it uses more digits than its factorization.

6610447224241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 6610447224241 in words is "six trillion, six hundred ten billion, four hundred forty-seven million, two hundred twenty-four thousand, two hundred forty-one".