268443088252416 has 240 divisors, whose sum is σ = 965915756327808. Its totient is φ = 69725477376000.

The previous prime is 268443088252399. The next prime is 268443088252489. The reversal of 268443088252416 is 614252880344862.

268443088252416 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 4 + 308 + 82 + 5 + 241 + 6 = 666.

It is a super-3 number, since 3×268443088252416³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 377930110 + ... + 378639741.

Almost surely, 2^{268443088252416} is an apocalyptic number.

It is an amenable number.

268443088252416 is an abundant number, since it is smaller than the sum of its proper divisors (697472668075392).

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

268443088252416 is a wasteful number, since it uses less digits than its factorization.

268443088252416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756569893 (or 756569874 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 268443088252416 in words is "two hundred sixty-eight trillion, four hundred forty-three billion, eighty-eight million, two hundred fifty-two thousand, four hundred sixteen".