476657670048761 has 2 divisors, whose sum is σ = 476657670048762. Its totient is φ = 476657670048760.

The previous prime is 476657670048727. The next prime is 476657670048773. The reversal of 476657670048761 is 167840076756674.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 367324631461225 + 109333038587536 = 19165715^2 + 10456244^2 .

It is a cyclic number.

It is not a de Polignac number, because 476657670048761 - 2⁶ = 476657670048697 is a prime.

It is a super-3 number, since 3×476657670048761³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (476657670048661) 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 as a sum of consecutive naturals, namely, 238328835024380 + 238328835024381.

It is an arithmetic number, because the mean of its divisors is an integer number (238328835024381).

Almost surely, 2^{476657670048761} is an apocalyptic number.

It is an amenable number.

476657670048761 is a deficient number, since it is larger than the sum of its proper divisors (1).

476657670048761 is an equidigital number, since it uses as much as digits as its factorization.

476657670048761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1991485440, while the sum is 74.

The spelling of 476657670048761 in words is "four hundred seventy-six trillion, six hundred fifty-seven billion, six hundred seventy million, forty-eight thousand, seven hundred sixty-one".