46416217761 has 6 divisors (see below), whose sum is σ = 67045647890. Its totient is φ = 30944145168.

The previous prime is 46416217753. The next prime is 46416217807. The reversal of 46416217761 is 16771261464.

46416217761 is a `hidden beast` number, since 4 + 6 + 416 + 2 + 177 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43913717136 + 2502500625 = 209556^2 + 50025^2 .

It is not a de Polignac number, because 46416217761 - 2³ = 46416217753 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46416217961) 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 5 ways as a sum of consecutive naturals, for example, 2578678756 + ... + 2578678773.

Almost surely, 2^46416217761 is an apocalyptic number.

It is an amenable number.

46416217761 is a deficient number, since it is larger than the sum of its proper divisors (20629430129).

46416217761 is a wasteful number, since it uses less digits than its factorization.

46416217761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157357535 (or 5157357532 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 46416217761 in words is "forty-six billion, four hundred sixteen million, two hundred seventeen thousand, seven hundred sixty-one".