506823727348224 has 1440 divisors, whose sum is σ = 1786348201397760. Its totient is φ = 136238107852800.

The previous prime is 506823727348219. The next prime is 506823727348229. The reversal of 506823727348224 is 422843727328605.

506823727348224 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 2 + 372 + 7 + 34 + 8 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (506823727348219) and next prime (506823727348229).

It is not an unprimeable number, because it can be changed into a prime (506823727348229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 611367583842 + ... + 611367584670.

It is an arithmetic number, because the mean of its divisors is an integer number (1240519584304).

Almost surely, 2^{506823727348224} 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 506823727348224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893174100698880).

506823727348224 is an abundant number, since it is smaller than the sum of its proper divisors (1279524474049536).

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

506823727348224 is a wasteful number, since it uses less digits than its factorization.

506823727348224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 506823727348224 in words is "five hundred six trillion, eight hundred twenty-three billion, seven hundred twenty-seven million, three hundred forty-eight thousand, two hundred twenty-four".