1460505666561 has 8 divisors (see below), whose sum is σ = 2061890352864. Its totient is φ = 916395712320.

The previous prime is 1460505666541. The next prime is 1460505666563. The reversal of 1460505666561 is 1656665050641.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1460505666561 - 2³⁹ = 910749852673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 28637366011 = 1460505666561 / (1 + 4 + 6 + 0 + 5 + 0 + 5 + 6 + 6 + 6 + 5 + 6 + 1).

It is not an unprimeable number, because it can be changed into a prime (1460505666563) 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 7 ways as a sum of consecutive naturals, for example, 14318682955 + ... + 14318683056.

It is an arithmetic number, because the mean of its divisors is an integer number (257736294108).

Almost surely, 2^{1460505666561} is an apocalyptic number.

It is an amenable number.

1460505666561 is a deficient number, since it is larger than the sum of its proper divisors (601384686303).

1460505666561 is a wasteful number, since it uses less digits than its factorization.

1460505666561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28637366031.

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 1460505666561 in words is "one trillion, four hundred sixty billion, five hundred five million, six hundred sixty-six thousand, five hundred sixty-one".