471628346112 has 324 divisors, whose sum is σ = 1725639833736. Its totient is φ = 122500546560.

The previous prime is 471628346107. The next prime is 471628346143. The reversal of 471628346112 is 211643826174.

471628346112 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 28 + 3 + 4 + 611 + 2 = 666.

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

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, 1051968 + ... + 1431744.

Almost surely, 2^471628346112 is an apocalyptic number.

471628346112 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 471628346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862819916868).

471628346112 is an abundant number, since it is smaller than the sum of its proper divisors (1254011487624).

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

471628346112 is a wasteful number, since it uses less digits than its factorization.

471628346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379824 (or 379800 counting only the distinct ones).

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

The spelling of 471628346112 in words is "four hundred seventy-one billion, six hundred twenty-eight million, three hundred forty-six thousand, one hundred twelve".