506001814945968 has 160 divisors (see below), whose sum is σ = 1442933041374720. Its totient is φ = 151518562836480.

The previous prime is 506001814945951. The next prime is 506001814946021. The reversal of 506001814945968 is 869549418100605.

It is a happy number.

It is a super-2 number, since 2×506001814945968² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 506001814945899 and 506001814945908.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25501698 + ... + 40771806.

It is an arithmetic number, because the mean of its divisors is an integer number (9018331508592).

Almost surely, 2^{506001814945968} 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 506001814945968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721466520687360).

506001814945968 is an abundant number, since it is smaller than the sum of its proper divisors (936931226428752).

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

506001814945968 is a wasteful number, since it uses less digits than its factorization.

506001814945968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15270875 (or 15270869 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 66.

The spelling of 506001814945968 in words is "five hundred six trillion, one billion, eight hundred fourteen million, nine hundred forty-five thousand, nine hundred sixty-eight".