1305632643663 has 16 divisors (see below), whose sum is σ = 1818580409856. Its totient is φ = 831638654880.

The previous prime is 1305632643589. The next prime is 1305632643743. The reversal of 1305632643663 is 3663462365031.

It is a happy number.

It is not a de Polignac number, because 1305632643663 - 2¹⁴ = 1305632627279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305632643463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10605208 + ... + 10727613.

It is an arithmetic number, because the mean of its divisors is an integer number (113661275616).

Almost surely, 2^{1305632643663} is an apocalyptic number.

1305632643663 is a deficient number, since it is larger than the sum of its proper divisors (512947766193).

1305632643663 is a wasteful number, since it uses less digits than its factorization.

1305632643663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21333734.

The product of its (nonzero) digits is 4199040, while the sum is 48.

The spelling of 1305632643663 in words is "one trillion, three hundred five billion, six hundred thirty-two million, six hundred forty-three thousand, six hundred sixty-three".