461506671637677 has 6 divisors (see below), whose sum is σ = 666620747921102. Its totient is φ = 307671114425112.

The previous prime is 461506671637667. The next prime is 461506671637729. The reversal of 461506671637677 is 776736176605164.

461506671637677 is a `hidden beast` number, since 4 + 6 + 1 + 506 + 6 + 7 + 16 + 37 + 6 + 77 = 666.

It can be written as a sum of positive squares in only one way, i.e., 351474418017801 + 110032253619876 = 18747651^2 + 10489626^2 .

It is not a de Polignac number, because 461506671637677 - 2³⁸ = 461231793730733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461506671637667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25639259535418 + ... + 25639259535435.

Almost surely, 2^{461506671637677} is an apocalyptic number.

It is an amenable number.

461506671637677 is a deficient number, since it is larger than the sum of its proper divisors (205114076283425).

461506671637677 is a wasteful number, since it uses less digits than its factorization.

461506671637677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51278519070859 (or 51278519070856 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 72.

The spelling of 461506671637677 in words is "four hundred sixty-one trillion, five hundred six billion, six hundred seventy-one million, six hundred thirty-seven thousand, six hundred seventy-seven".