268200626356224 has 315 divisors, whose sum is σ = 801741555011397. Its totient is φ = 89349899157504.

The previous prime is 268200626356171. The next prime is 268200626356241. The reversal of 268200626356224 is 422653626002862.

The square root of 268200626356224 is 16376832.

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

268200626356224 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 0 + 0 + 6 + 2 + 6 + 3 + 5 + 622 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135914559897600 + 132286066458624 = 11658240^2 + 11501568^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 150928882824 + ... + 150928884600.

Almost surely, 2^{268200626356224} is an apocalyptic number.

268200626356224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

268200626356224 is the 16376832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268200626356224

268200626356224 is an abundant number, since it is smaller than the sum of its proper divisors (533540928655173).

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

268200626356224 is an frugal number, since it uses more digits than its factorization.

268200626356224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 268200626356224 in words is "two hundred sixty-eight trillion, two hundred billion, six hundred twenty-six million, three hundred fifty-six thousand, two hundred twenty-four".