504224354100032 has 28 divisors (see below), whose sum is σ = 1009424806245156. Its totient is φ = 249881095833600.

The previous prime is 504224354100031. The next prime is 504224354100139. The reversal of 504224354100032 is 230001453422405.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78979906540096 + 425244447559936 = 8887064^2 + 20621456^2 .

It is a super-3 number, since 3×504224354100032³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 504224354099965 and 504224354100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504224354100031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34860636719 + ... + 34860651182.

It is an arithmetic number, because the mean of its divisors is an integer number (36050885937327).

Almost surely, 2^{504224354100032} is an apocalyptic number.

It is an amenable number.

504224354100032 is an abundant number, since it is smaller than the sum of its proper divisors (505200452145124).

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

504224354100032 is a wasteful number, since it uses less digits than its factorization.

504224354100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69721288026 (or 69721288016 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 504224354100032 in words is "five hundred four trillion, two hundred twenty-four billion, three hundred fifty-four million, one hundred thousand, thirty-two".