472746161084868 has 288 divisors, whose sum is σ = 1382153734241280. Its totient is φ = 134878794624000.

The previous prime is 472746161084809. The next prime is 472746161084887. The reversal of 472746161084868 is 868480161647274.

472746161084868 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 461 + 6 + 1 + 0 + 84 + 86 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 472746161084796 and 472746161084805.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8661341338 + ... + 8661395918.

It is an arithmetic number, because the mean of its divisors is an integer number (4799144910560).

Almost surely, 2^{472746161084868} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472746161084868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691076867120640).

472746161084868 is an abundant number, since it is smaller than the sum of its proper divisors (909407573156412).

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

472746161084868 is a wasteful number, since it uses less digits than its factorization.

472746161084868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73739 (or 73734 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 472746161084868 in words is "four hundred seventy-two trillion, seven hundred forty-six billion, one hundred sixty-one million, eighty-four thousand, eight hundred sixty-eight".