470842215574752 has 144 divisors (see below), whose sum is σ = 1561466531570400. Its totient is φ = 134526347278848.

The previous prime is 470842215574751. The next prime is 470842215574789. The reversal of 470842215574752 is 257475512248074.

470842215574752 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 4 + 2 + 2 + 1 + 5 + 574 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×470842215574752³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 470842215574752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470842215574751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383091893 + ... + 2383289460.

It is an arithmetic number, because the mean of its divisors is an integer number (10843517580350).

Almost surely, 2^{470842215574752} is an apocalyptic number.

470842215574752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

470842215574752 is an abundant number, since it is smaller than the sum of its proper divisors (1090624315995648).

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

470842215574752 is a wasteful number, since it uses less digits than its factorization.

470842215574752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766381390 (or 4766381365 counting only the distinct ones).

The product of its (nonzero) digits is 175616000, while the sum is 63.

The spelling of 470842215574752 in words is "four hundred seventy trillion, eight hundred forty-two billion, two hundred fifteen million, five hundred seventy-four thousand, seven hundred fifty-two".