506332506454000 has 160 divisors (see below), whose sum is σ = 1261428118254720. Its totient is φ = 196478906624000.

The previous prime is 506332506453979. The next prime is 506332506454003. The reversal of 506332506454000 is 454605233605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506332506454003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17401516 + ... + 36269515.

It is an arithmetic number, because the mean of its divisors is an integer number (7883925739092).

Almost surely, 2^{506332506454000} is an apocalyptic number.

506332506454000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506332506454000 is an abundant number, since it is smaller than the sum of its proper divisors (755095611800720).

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

506332506454000 is a wasteful number, since it uses less digits than its factorization.

506332506454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53671196 (or 53671180 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 43.

The spelling of 506332506454000 in words is "five hundred six trillion, three hundred thirty-two billion, five hundred six million, four hundred fifty-four thousand".