505111546944 has 105 divisors (see below), whose sum is σ = 1497460565271. Its totient is φ = 168353458560.

The previous prime is 505111546913. The next prime is 505111546957. The reversal of 505111546944 is 449645111505.

The square root of 505111546944 is 710712.

It is a perfect power (a square), and thus also a powerful number.

505111546944 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 11 + 546 + 94 + 4 = 666.

505111546944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 505111546944.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 51166329 + ... + 51176199.

Almost surely, 2^505111546944 is an apocalyptic number.

505111546944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

505111546944 is the 710712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505111546944

505111546944 is an abundant number, since it is smaller than the sum of its proper divisors (992349018327).

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

505111546944 is an frugal number, since it uses more digits than its factorization.

505111546944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19766 (or 9876 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 505111546944 in words is "five hundred five billion, one hundred eleven million, five hundred forty-six thousand, nine hundred forty-four".