505138114944 has 640 divisors, whose sum is σ = 1625905459200. Its totient is φ = 155196518400.

The previous prime is 505138114891. The next prime is 505138114961. The reversal of 505138114944 is 449411831505.

505138114944 is a `hidden beast` number, since 5 + 0 + 513 + 81 + 14 + 9 + 44 = 666.

It is a super-2 number, since 2×505138114944² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 505138114944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1526096859 + ... + 1526097189.

It is an arithmetic number, because the mean of its divisors is an integer number (2540477280).

Almost surely, 2^505138114944 is an apocalyptic number.

505138114944 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 505138114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812952729600).

505138114944 is an abundant number, since it is smaller than the sum of its proper divisors (1120767344256).

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

505138114944 is a wasteful number, since it uses less digits than its factorization.

505138114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 505138114944 in words is "five hundred five billion, one hundred thirty-eight million, one hundred fourteen thousand, nine hundred forty-four".