506442532456 has 64 divisors (see below), whose sum is σ = 1108727009280. Its totient is φ = 212391115200.

The previous prime is 506442532441. The next prime is 506442532469. The reversal of 506442532456 is 654235244605.

It is a super-2 number, since 2×506442532456² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119601 + ... + 1013503.

It is an arithmetic number, because the mean of its divisors is an integer number (17323859520).

Almost surely, 2^506442532456 is an apocalyptic number.

506442532456 is a gapful number since it is divisible by the number (56) 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 506442532456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554363504640).

506442532456 is an abundant number, since it is smaller than the sum of its proper divisors (602284476824).

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

506442532456 is a wasteful number, since it uses less digits than its factorization.

506442532456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894134 (or 894130 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 46.

The spelling of 506442532456 in words is "five hundred six billion, four hundred forty-two million, five hundred thirty-two thousand, four hundred fifty-six".