477123129081 has 21 divisors (see below), whose sum is σ = 715385411989. Its totient is φ = 318069652716.

The previous prime is 477123129073. The next prime is 477123129113. The reversal of 477123129081 is 180921321774.

The square root of 477123129081 is 690741.

It is a perfect power (a square), and thus also a powerful number.

477123129081 is a `hidden beast` number, since 477 + 1 + 2 + 3 + 12 + 90 + 81 = 666.

It is not a de Polignac number, because 477123129081 - 2³ = 477123129073 is a prime.

It is a super-5 number, since 5×477123129081⁵ (a number of 60 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (477123129001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18637216 + ... + 18662798.

Almost surely, 2^477123129081 is an apocalyptic number.

477123129081 is the 690741-st square number.

477123129081 is the 345371-st centered octagonal number.

It is an amenable number.

477123129081 is a deficient number, since it is larger than the sum of its proper divisors (238262282908).

477123129081 is an frugal number, since it uses more digits than its factorization.

477123129081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51184 (or 25586 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 477123129081 in words is "four hundred seventy-seven billion, one hundred twenty-three million, one hundred twenty-nine thousand, eighty-one".