476404623168345 has 24 divisors (see below), whose sum is σ = 825785029742400. Its totient is φ = 254077229920416.

The previous prime is 476404623168329. The next prime is 476404623168349. The reversal of 476404623168345 is 543861326404674.

476404623168345 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 0 + 462 + 3 + 168 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 476404623168345 - 2⁴ = 476404623168329 is a prime.

It is a super-2 number, since 2×476404623168345² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (476404623168349) 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, 106870005 + ... + 111238514.

It is an arithmetic number, because the mean of its divisors is an integer number (34407709572600).

Almost surely, 2^{476404623168345} is an apocalyptic number.

476404623168345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

476404623168345 is a deficient number, since it is larger than the sum of its proper divisors (349380406574055).

476404623168345 is a wasteful number, since it uses less digits than its factorization.

476404623168345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218157069 (or 218157066 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 63.

The spelling of 476404623168345 in words is "four hundred seventy-six trillion, four hundred four billion, six hundred twenty-three million, one hundred sixty-eight thousand, three hundred forty-five".