505049409626112 has 3584 divisors, whose sum is σ = 1886186187325440. Its totient is φ = 131845765201920.

The previous prime is 505049409626071. The next prime is 505049409626137. The reversal of 505049409626112 is 211626904940505.

It is a happy number.

505049409626112 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 4 + 9 + 4 + 0 + 9 + 626 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 1498662936408 + ... + 1498662936744.

It is an arithmetic number, because the mean of its divisors is an integer number (526279628160).

Almost surely, 2^{505049409626112} is an apocalyptic number.

505049409626112 is a gapful number since it is divisible by the number (52) 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 505049409626112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943093093662720).

505049409626112 is an abundant number, since it is smaller than the sum of its proper divisors (1381136777699328).

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

505049409626112 is a wasteful number, since it uses less digits than its factorization.

505049409626112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 505049409626112 in words is "five hundred five trillion, forty-nine billion, four hundred nine million, six hundred twenty-six thousand, one hundred twelve".