461295879777 has 48 divisors (see below), whose sum is σ = 706397073408. Its totient is φ = 289468222560.

The previous prime is 461295879773. The next prime is 461295879851. The reversal of 461295879777 is 777978592164.

461295879777 is a `hidden beast` number, since 461 + 2 + 9 + 5 + 8 + 7 + 97 + 77 = 666.

It is not a de Polignac number, because 461295879777 - 2² = 461295879773 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461295879773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13727398 + ... + 13760960.

It is an arithmetic number, because the mean of its divisors is an integer number (14716605696).

Almost surely, 2^461295879777 is an apocalyptic number.

It is an amenable number.

461295879777 is a deficient number, since it is larger than the sum of its proper divisors (245101193631).

461295879777 is a wasteful number, since it uses less digits than its factorization.

461295879777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34650 (or 34647 counting only the distinct ones).

The product of its digits is 373403520, while the sum is 72.

The spelling of 461295879777 in words is "four hundred sixty-one billion, two hundred ninety-five million, eight hundred seventy-nine thousand, seven hundred seventy-seven".