505553248368 has 800 divisors, whose sum is σ = 1796735001600. Its totient is φ = 136914624000.

The previous prime is 505553248363. The next prime is 505553248379. The reversal of 505553248368 is 863842355505.

It is a happy number.

505553248368 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 532 + 48 + 3 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505553248363) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2014156243 + ... + 2014156493.

It is an arithmetic number, because the mean of its divisors is an integer number (2245918752).

Almost surely, 2^505553248368 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 505553248368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898367500800).

505553248368 is an abundant number, since it is smaller than the sum of its proper divisors (1291181753232).

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

505553248368 is a wasteful number, since it uses less digits than its factorization.

505553248368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

It can be divided in two parts, 50555 and 3248368, that added together give a palindrome (3298923).

The spelling of 505553248368 in words is "five hundred five billion, five hundred fifty-three million, two hundred forty-eight thousand, three hundred sixty-eight".