506922441951744 has 2560 divisors, whose sum is σ = 2097279765504000. Its totient is φ = 116952728076288.

The previous prime is 506922441951701. The next prime is 506922441951749. The reversal of 506922441951744 is 447159144229605.

506922441951744 is a `hidden beast` number, since 5 + 0 + 6 + 9 + 22 + 44 + 19 + 517 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (506922441951749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21535416327 + ... + 21535439865.

It is an arithmetic number, because the mean of its divisors is an integer number (819249908400).

Almost surely, 2^{506922441951744} is an apocalyptic number.

506922441951744 is a gapful number since it is divisible by the number (54) 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 506922441951744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048639882752000).

506922441951744 is an abundant number, since it is smaller than the sum of its proper divisors (1590357323552256).

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

506922441951744 is a wasteful number, since it uses less digits than its factorization.

506922441951744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23675 (or 23653 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 506922441951744 in words is "five hundred six trillion, nine hundred twenty-two billion, four hundred forty-one million, nine hundred fifty-one thousand, seven hundred forty-four".