506334069408 has 288 divisors, whose sum is σ = 1440177641280. Its totient is φ = 155204608000.

The previous prime is 506334069403. The next prime is 506334069473. The reversal of 506334069408 is 804960433605.

It is a super-2 number, since 2×506334069408² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (506334069403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828681863 + ... + 2828682041.

It is an arithmetic number, because the mean of its divisors is an integer number (5000616810).

Almost surely, 2^506334069408 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 506334069408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720088820640).

506334069408 is an abundant number, since it is smaller than the sum of its proper divisors (933843571872).

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

506334069408 is a wasteful number, since it uses less digits than its factorization.

506334069408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 506334069408 in words is "five hundred six billion, three hundred thirty-four million, sixty-nine thousand, four hundred eight".