471728848896 has 544 divisors, whose sum is σ = 1488798789120. Its totient is φ = 147305005056.

The previous prime is 471728848883. The next prime is 471728848897. The reversal of 471728848896 is 698848827174.

471728848896 is a `hidden beast` number, since 4 + 71 + 72 + 8 + 8 + 488 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (471728848897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2726756266 + ... + 2726756438.

It is an arithmetic number, because the mean of its divisors is an integer number (2736762480).

Almost surely, 2^471728848896 is an apocalyptic number.

471728848896 is a gapful number since it is divisible by the number (46) 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 471728848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744399394560).

471728848896 is an abundant number, since it is smaller than the sum of its proper divisors (1017069940224).

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

471728848896 is an equidigital number, since it uses as much as digits as its factorization.

471728848896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 268 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 72.

The spelling of 471728848896 in words is "four hundred seventy-one billion, seven hundred twenty-eight million, eight hundred forty-eight thousand, eight hundred ninety-six".