504552936384 has 224 divisors, whose sum is σ = 1703233779200. Its totient is φ = 143474042880.

The previous prime is 504552936343. The next prime is 504552936397. The reversal of 504552936384 is 483639255405.

It is a happy number.

504552936384 is a `hidden beast` number, since 5 + 0 + 4 + 5 + 529 + 36 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×504552936384² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 504552936384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2453412 + ... + 2651100.

Almost surely, 2^504552936384 is an apocalyptic number.

504552936384 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 504552936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851616889600).

504552936384 is an abundant number, since it is smaller than the sum of its proper divisors (1198680842816).

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

504552936384 is a wasteful number, since it uses less digits than its factorization.

504552936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197928 (or 197912 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 504552936384 in words is "five hundred four billion, five hundred fifty-two million, nine hundred thirty-six thousand, three hundred eighty-four".