505248012864 has 189 divisors, whose sum is σ = 1685041640451. Its totient is φ = 144322456320.

The previous prime is 505248012851. The next prime is 505248012883. The reversal of 505248012864 is 468210842505.

The square root of 505248012864 is 710808.

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

505248012864 is a `hidden beast` number, since 50 + 52 + 480 + 12 + 8 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119413629 + ... + 119417859.

Almost surely, 2^505248012864 is an apocalyptic number.

505248012864 is the 710808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505248012864

505248012864 is an abundant number, since it is smaller than the sum of its proper divisors (1179793627587).

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

505248012864 is an frugal number, since it uses more digits than its factorization.

505248012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 505248012864 in words is "five hundred five billion, two hundred forty-eight million, twelve thousand, eight hundred sixty-four".