268943209342632 has 288 divisors, whose sum is σ = 802032887696040. Its totient is φ = 81354726604800.

The previous prime is 268943209342627. The next prime is 268943209342669. The reversal of 268943209342632 is 236243902349862.

268943209342632 is a `hidden beast` number, since 2 + 6 + 8 + 94 + 3 + 2 + 0 + 93 + 426 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 246743337460356 + 22199871882276 = 15708066^2 + 4711674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 268943209342632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11988720088 + ... + 11988742520.

Almost surely, 2^{268943209342632} is an apocalyptic number.

268943209342632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268943209342632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401016443848020).

268943209342632 is an abundant number, since it is smaller than the sum of its proper divisors (533089678353408).

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

268943209342632 is a wasteful number, since it uses less digits than its factorization.

268943209342632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24825 (or 24807 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 63.

The spelling of 268943209342632 in words is "two hundred sixty-eight trillion, nine hundred forty-three billion, two hundred nine million, three hundred forty-two thousand, six hundred thirty-two".