463431312961 has 32 divisors (see below), whose sum is σ = 483289348608. Its totient is φ = 444124961280.

The previous prime is 463431312959. The next prime is 463431313019. The reversal of 463431312961 is 169213134364.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 463431312961 - 2¹ = 463431312959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463431312761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194963605 + ... + 194965981.

It is an arithmetic number, because the mean of its divisors is an integer number (15102792144).

Almost surely, 2^463431312961 is an apocalyptic number.

It is an amenable number.

463431312961 is a deficient number, since it is larger than the sum of its proper divisors (19858035647).

463431312961 is a wasteful number, since it uses less digits than its factorization.

463431312961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961.

The product of its digits is 279936, while the sum is 43.

The spelling of 463431312961 in words is "four hundred sixty-three billion, four hundred thirty-one million, three hundred twelve thousand, nine hundred sixty-one".