470566458888064 has 256 divisors, whose sum is σ = 1244442321676800. Its totient is φ = 171589023498240.

The previous prime is 470566458888061. The next prime is 470566458888139. The reversal of 470566458888064 is 460888854665074.

It is a hoax number, since the sum of its digits (79) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470566458888061) 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, 22146892 + ... + 37836724.

It is an arithmetic number, because the mean of its divisors is an integer number (4861102819050).

Almost surely, 2^{470566458888064} is an apocalyptic number.

470566458888064 is a gapful number since it is divisible by the number (44) 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 470566458888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622221160838400).

470566458888064 is an abundant number, since it is smaller than the sum of its proper divisors (773875862788736).

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

470566458888064 is a wasteful number, since it uses less digits than its factorization.

470566458888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15690061 (or 15690049 counting only the distinct ones).

The product of its (nonzero) digits is 9909043200, while the sum is 79.

The spelling of 470566458888064 in words is "four hundred seventy trillion, five hundred sixty-six billion, four hundred fifty-eight million, eight hundred eighty-eight thousand, sixty-four".