268923385045440 has 336 divisors, whose sum is σ = 936655298062848. Its totient is φ = 70809043802112.

The previous prime is 268923385045439. The next prime is 268923385045487. The reversal of 268923385045440 is 44540583329862.

268923385045440 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 2 + 3 + 3 + 85 + 0 + 4 + 544 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 425892837 + ... + 426523803.

It is an arithmetic number, because the mean of its divisors is an integer number (2787664577568).

Almost surely, 2^{268923385045440} is an apocalyptic number.

268923385045440 is a gapful number since it is divisible by the number (20) 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 268923385045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468327649031424).

268923385045440 is an abundant number, since it is smaller than the sum of its proper divisors (667731913017408).

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

268923385045440 is a wasteful number, since it uses less digits than its factorization.

268923385045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632856 (or 632843 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 268923385045440 in words is "two hundred sixty-eight trillion, nine hundred twenty-three billion, three hundred eighty-five million, forty-five thousand, four hundred forty".