506778169248 has 360 divisors, whose sum is σ = 1708846964748. Its totient is φ = 146757132288.

The previous prime is 506778169223. The next prime is 506778169267. The reversal of 506778169248 is 842961877605.

506778169248 is a `hidden beast` number, since 506 + 7 + 7 + 81 + 6 + 9 + 2 + 48 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 70528487184 + 436249682064 = 265572^2 + 660492^2 .

It is a super-2 number, since 2×506778169248² (a number of 24 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 7412790 + ... + 7480842.

Almost surely, 2^506778169248 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 506778169248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854423482374).

506778169248 is an abundant number, since it is smaller than the sum of its proper divisors (1202068795500).

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

506778169248 is a wasteful number, since it uses less digits than its factorization.

506778169248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68118 (or 68088 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 506778169248 in words is "five hundred six billion, seven hundred seventy-eight million, one hundred sixty-nine thousand, two hundred forty-eight".