1217665903441 has 27 divisors (see below), whose sum is σ = 1366038974001. Its totient is φ = 1084869930144.

The previous prime is 1217665903429. The next prime is 1217665903459. The reversal of 1217665903441 is 1443095667121.

The square root of 1217665903441 is 1103479.

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

It can be written as a sum of positive squares in 4 ways, for example, as 156139571025 + 1061526332416 = 395145^2 + 1030304^2 .

It is not a de Polignac number, because 1217665903441 - 2⁵ = 1217665903409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1217665903481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 416010120 + ... + 416013046.

Almost surely, 2^{1217665903441} is an apocalyptic number.

1217665903441 is the 1103479-th square number.

1217665903441 is the 551740-th centered octagonal number.

It is an amenable number.

1217665903441 is a deficient number, since it is larger than the sum of its proper divisors (148373070560).

1217665903441 is an frugal number, since it uses more digits than its factorization.

1217665903441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 1217665903441 by its sum of digits (49), we get a square (59665629268609 = 7724353²).

The spelling of 1217665903441 in words is "one trillion, two hundred seventeen billion, six hundred sixty-five million, nine hundred three thousand, four hundred forty-one".