268332288064 has 63 divisors (see below), whose sum is σ = 540475267917. Its totient is φ = 132179065344.

The previous prime is 268332288001. The next prime is 268332288127. The reversal of 268332288064 is 460882233862.

It is a happy number.

The square root of 268332288064 is 518008.

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

268332288064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268332288001) and next prime (268332288127).

It can be written as a sum of positive squares in only one way, i.e., 152318478400 + 116013809664 = 390280^2 + 340608^2 .

It is a super-2 number, since 2×268332288064² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 302516229 + ... + 302517115.

Almost surely, 2^268332288064 is an apocalyptic number.

268332288064 is the 518008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268332288064

268332288064 is an abundant number, since it is smaller than the sum of its proper divisors (272142979853).

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

268332288064 is an frugal number, since it uses more digits than its factorization.

268332288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 268332288064 in words is "two hundred sixty-eight billion, three hundred thirty-two million, two hundred eighty-eight thousand, sixty-four".