471834381312 has 528 divisors, whose sum is σ = 1669592481120. Its totient is φ = 131152379904.

The previous prime is 471834381301. The next prime is 471834381313. The reversal of 471834381312 is 213183438174.

471834381312 is a `hidden beast` number, since 4 + 7 + 1 + 83 + 438 + 131 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (471834381313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50121118 + ... + 50130530.

Almost surely, 2^471834381312 is an apocalyptic number.

471834381312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471834381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834796240560).

471834381312 is an abundant number, since it is smaller than the sum of its proper divisors (1197758099808).

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

471834381312 is a wasteful number, since it uses less digits than its factorization.

471834381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9462 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 471834381312 in words is "four hundred seventy-one billion, eight hundred thirty-four million, three hundred eighty-one thousand, three hundred twelve".