287609109264 has 75 divisors (see below), whose sum is σ = 832480086757. Its totient is φ = 95863267584.

The previous prime is 287609109167. The next prime is 287609109287. The reversal of 287609109264 is 462901906782.

The square root of 287609109264 is 536292.

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

287609109264 is a `hidden beast` number, since 2 + 8 + 7 + 609 + 1 + 0 + 9 + 26 + 4 = 666.

287609109264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 268178979600 + 19430129664 = 517860^2 + 139392^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 287609109264.

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, 19299064 + ... + 19313960.

Almost surely, 2^287609109264 is an apocalyptic number.

287609109264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

287609109264 is the 536292-nd square number.

It is an amenable number.

287609109264 is an abundant number, since it is smaller than the sum of its proper divisors (544870977493).

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

287609109264 is an frugal number, since it uses more digits than its factorization.

287609109264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29814 (or 14902 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 287609109264 in words is "two hundred eighty-seven billion, six hundred nine million, one hundred nine thousand, two hundred sixty-four".