268857411384384 has 189 divisors, whose sum is σ = 772661257327557. Its totient is φ = 89383678046208.

The previous prime is 268857411384361. The next prime is 268857411384403. The reversal of 268857411384384 is 483483114758862.

The square root of 268857411384384 is 16396872.

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

268857411384384 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 5 + 74 + 113 + 8 + 438 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110024827089984 + 158832584294400 = 10489272^2 + 12602880^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215258134992 + ... + 215258136240.

Almost surely, 2^{268857411384384} is an apocalyptic number.

268857411384384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

268857411384384 is the 16396872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268857411384384

268857411384384 is an abundant number, since it is smaller than the sum of its proper divisors (503803845943173).

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

268857411384384 is an frugal number, since it uses more digits than its factorization.

268857411384384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 1801 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 268857411384384 in words is "two hundred sixty-eight trillion, eight hundred fifty-seven billion, four hundred eleven million, three hundred eighty-four thousand, three hundred eighty-four".