506534453712 has 240 divisors, whose sum is σ = 1737125245440. Its totient is φ = 134486396928.

The previous prime is 506534453707. The next prime is 506534453713. The reversal of 506534453712 is 217354435605.

506534453712 is a `hidden beast` number, since 5 + 0 + 6 + 534 + 45 + 3 + 71 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506534453713) 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 47 ways as a sum of consecutive naturals, for example, 1166658 + ... + 1540830.

It is an arithmetic number, because the mean of its divisors is an integer number (7238021856).

Almost surely, 2^506534453712 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 506534453712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868562622720).

506534453712 is an abundant number, since it is smaller than the sum of its proper divisors (1230590791728).

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

506534453712 is a wasteful number, since it uses less digits than its factorization.

506534453712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374290 (or 374281 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 506534453712 in words is "five hundred six billion, five hundred thirty-four million, four hundred fifty-three thousand, seven hundred twelve".