288082457432064 has 585 divisors, whose sum is σ = 873960156462393. Its totient is φ = 94557760487424.

The previous prime is 288082457431987. The next prime is 288082457432083. The reversal of 288082457432064 is 460234754280882.

The square root of 288082457432064 is 16972992.

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

288082457432064 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 8 + 24 + 574 + 32 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156590184960000 + 131492272472064 = 12513600^2 + 11467008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 288082457431992 and 288082457432010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 772339027782 + ... + 772339028154.

Almost surely, 2^{288082457432064} is an apocalyptic number.

288082457432064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

288082457432064 is the 16972992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288082457432064

288082457432064 is an abundant number, since it is smaller than the sum of its proper divisors (585877699030329).

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

288082457432064 is an frugal number, since it uses more digits than its factorization.

288082457432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 288082457432064 in words is "two hundred eighty-eight trillion, eighty-two billion, four hundred fifty-seven million, four hundred thirty-two thousand, sixty-four".