473891129712 has 480 divisors, whose sum is σ = 1807295992320. Its totient is φ = 111922145280.

The previous prime is 473891129711. The next prime is 473891129729. The reversal of 473891129712 is 217921198374.

473891129712 is a `hidden beast` number, since 473 + 8 + 91 + 12 + 9 + 71 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473891129711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9633114 + ... + 9682182.

It is an arithmetic number, because the mean of its divisors is an integer number (3765199984).

Almost surely, 2^473891129712 is an apocalyptic number.

473891129712 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 473891129712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903647996160).

473891129712 is an abundant number, since it is smaller than the sum of its proper divisors (1333404862608).

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

473891129712 is a wasteful number, since it uses less digits than its factorization.

473891129712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49181 (or 49172 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 473891129712 in words is "four hundred seventy-three billion, eight hundred ninety-one million, one hundred twenty-nine thousand, seven hundred twelve".