506452224345600 has 480 divisors, whose sum is σ = 1808906784056064. Its totient is φ = 124168458240000.

The previous prime is 506452224345569. The next prime is 506452224345601. The reversal of 506452224345600 is 6543422254605.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 506452224345600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506452224345601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123278229 + ... + 127320171.

Almost surely, 2^{506452224345600} is an apocalyptic number.

506452224345600 is a gapful number since it is divisible by the number (50) 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 506452224345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904453392028032).

506452224345600 is an abundant number, since it is smaller than the sum of its proper divisors (1302454559710464).

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

506452224345600 is a wasteful number, since it uses less digits than its factorization.

506452224345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042238 (or 4042217 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

The spelling of 506452224345600 in words is "five hundred six trillion, four hundred fifty-two billion, two hundred twenty-four million, three hundred forty-five thousand, six hundred".