506122278948 has 576 divisors, whose sum is σ = 1620485927424. Its totient is φ = 130977792000.

The previous prime is 506122278923. The next prime is 506122278967. The reversal of 506122278948 is 849872221605.

506122278948 is a `hidden beast` number, since 506 + 1 + 2 + 22 + 78 + 9 + 48 = 666.

It is a super-2 number, since 2×506122278948² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506122278894 and 506122278903.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 665074888 + ... + 665075648.

It is an arithmetic number, because the mean of its divisors is an integer number (2813343624).

Almost surely, 2^506122278948 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 506122278948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810242963712).

506122278948 is an abundant number, since it is smaller than the sum of its proper divisors (1114363648476).

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

506122278948 is a wasteful number, since it uses less digits than its factorization.

506122278948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 506122278948 in words is "five hundred six billion, one hundred twenty-two million, two hundred seventy-eight thousand, nine hundred forty-eight".