505141918848 has 576 divisors, whose sum is σ = 1759984312320. Its totient is φ = 138509844480.

The previous prime is 505141918811. The next prime is 505141918927. The reversal of 505141918848 is 848819141505.

505141918848 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 419 + 188 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 505141918794 and 505141918803.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 222234640 + ... + 222236912.

It is an arithmetic number, because the mean of its divisors is an integer number (3055528320).

Almost surely, 2^505141918848 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 505141918848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879992156160).

505141918848 is an abundant number, since it is smaller than the sum of its proper divisors (1254842393472).

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

505141918848 is a wasteful number, since it uses less digits than its factorization.

505141918848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 505141918848 in words is "five hundred five billion, one hundred forty-one million, nine hundred eighteen thousand, eight hundred forty-eight".