476334083164842 has 72 divisors (see below), whose sum is σ = 1201425653108772. Its totient is φ = 135996903504000.

The previous prime is 476334083164787. The next prime is 476334083164957. The reversal of 476334083164842 is 248461380433674.

476334083164842 is a `hidden beast` number, since 4 + 7 + 6 + 33 + 40 + 83 + 1 + 6 + 484 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 472758092486001 + 3575990678841 = 21743001^2 + 1891029^2 .

It is a super-2 number, since 2×476334083164842² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 476334083164842.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194314659 + ... + 196750742.

Almost surely, 2^{476334083164842} is an apocalyptic number.

476334083164842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

476334083164842 is an abundant number, since it is smaller than the sum of its proper divisors (725091569943930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

476334083164842 is a wasteful number, since it uses less digits than its factorization.

476334083164842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391066804 (or 391066794 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 476334083164842 in words is "four hundred seventy-six trillion, three hundred thirty-four billion, eighty-three million, one hundred sixty-four thousand, eight hundred forty-two".