268569493848100 has 27 divisors (see below), whose sum is σ = 582796157272147. Its totient is φ = 107427731986880.

The previous prime is 268569493848067. The next prime is 268569493848101. The reversal of 268569493848100 is 1848394965862.

The square root of 268569493848100 is 16388090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9042806779876 + 259526687068224 = 3007126^2 + 16109832^2 .

It is a super-2 number, since 2×268569493848100² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268569493848101) by changing a digit.

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, 163061496 + ... + 164700304.

Almost surely, 2^{268569493848100} is an apocalyptic number.

268569493848100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

268569493848100 is the 16388090-th square number.

It is an amenable number.

268569493848100 is an abundant number, since it is smaller than the sum of its proper divisors (314226663424047).

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

268569493848100 is an frugal number, since it uses more digits than its factorization.

268569493848100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277632 (or 1638816 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 73.

The spelling of 268569493848100 in words is "two hundred sixty-eight trillion, five hundred sixty-nine billion, four hundred ninety-three million, eight hundred forty-eight thousand, one hundred".