470561664012 has 144 divisors (see below), whose sum is σ = 1225834293600. Its totient is φ = 140367744000.

The previous prime is 470561663983. The next prime is 470561664029. The reversal of 470561664012 is 210466165074.

It is a super-2 number, since 2×470561664012² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29585262 + ... + 29601162.

It is an arithmetic number, because the mean of its divisors is an integer number (8512738150).

Almost surely, 2^470561664012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470561664012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612917146800).

470561664012 is an abundant number, since it is smaller than the sum of its proper divisors (755272629588).

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

470561664012 is a wasteful number, since it uses less digits than its factorization.

470561664012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16248 (or 16235 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 470561664012 in words is "four hundred seventy billion, five hundred sixty-one million, six hundred sixty-four thousand, twelve".