461733677067313 has 32 divisors (see below), whose sum is σ = 556817937223680. Its totient is φ = 374031345168000.

The previous prime is 461733677067259. The next prime is 461733677067367. The reversal of 461733677067313 is 313760776337164.

It is an interprime number because it is at equal distance from previous prime (461733677067259) and next prime (461733677067367).

It is not a de Polignac number, because 461733677067313 - 2²⁹ = 461733140196401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461733077067313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536744053 + ... + 537603613.

It is an arithmetic number, because the mean of its divisors is an integer number (17400560538240).

Almost surely, 2^{461733677067313} is an apocalyptic number.

It is an amenable number.

461733677067313 is a deficient number, since it is larger than the sum of its proper divisors (95084260156367).

461733677067313 is a wasteful number, since it uses less digits than its factorization.

461733677067313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869389.

The product of its (nonzero) digits is 168031584, while the sum is 64.

The spelling of 461733677067313 in words is "four hundred sixty-one trillion, seven hundred thirty-three billion, six hundred seventy-seven million, sixty-seven thousand, three hundred thirteen".