477961600181 has 24 divisors (see below), whose sum is σ = 540315369000. Its totient is φ = 422073130752.

The previous prime is 477961600121. The next prime is 477961600187. The reversal of 477961600181 is 181006169774.

It can be written as a sum of positive squares in 12 ways, for example, as 351460451281 + 126501148900 = 592841^2 + 355670^2 .

It is not a de Polignac number, because 477961600181 - 2⁶ = 477961600117 is a prime.

It is a super-2 number, since 2×477961600181² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477961600187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86855 + ... + 981563.

It is an arithmetic number, because the mean of its divisors is an integer number (22513140375).

Almost surely, 2^477961600181 is an apocalyptic number.

It is an amenable number.

477961600181 is a deficient number, since it is larger than the sum of its proper divisors (62353768819).

477961600181 is a wasteful number, since it uses less digits than its factorization.

477961600181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894873 (or 894860 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 50.

The spelling of 477961600181 in words is "four hundred seventy-seven billion, nine hundred sixty-one million, six hundred thousand, one hundred eighty-one".