268522948864 has 81 divisors (see below), whose sum is σ = 542207844633. Its totient is φ = 132723480576.

The previous prime is 268522948861. The next prime is 268522948871. The reversal of 268522948864 is 468849225862.

The square root of 268522948864 is 518192.

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

It can be written as a sum of positive squares in only one way, i.e., 54531590400 + 213991358464 = 233520^2 + 462592^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268522948796 and 268522948805.

It is not an unprimeable number, because it can be changed into a prime (268522948861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1152458892 + ... + 1152459124.

Almost surely, 2^268522948864 is an apocalyptic number.

268522948864 is the 518192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268522948864

268522948864 is an abundant number, since it is smaller than the sum of its proper divisors (273684895769).

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

268522948864 is an frugal number, since it uses more digits than its factorization.

268522948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 374 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 64.

Multiplying 268522948864 by its sum of digits (64), we get a square (17185468727296 = 4145536²).

268522948864 divided by its sum of digits (64) gives a square (4195671076 = 64774²).

The spelling of 268522948864 in words is "two hundred sixty-eight billion, five hundred twenty-two million, nine hundred forty-eight thousand, eight hundred sixty-four".