268191181381584 has 40 divisors (see below), whose sum is σ = 715176483688192. Its totient is φ = 86513284316160.

The previous prime is 268191181381579. The next prime is 268191181381597. The reversal of 268191181381584 is 485183181191862.

268191181381584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90118003009 + ... + 90118005984.

Almost surely, 2^{268191181381584} is an apocalyptic number.

268191181381584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268191181381584 is an abundant number, since it is smaller than the sum of its proper divisors (446985302306608).

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

268191181381584 is a wasteful number, since it uses less digits than its factorization.

268191181381584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180236009035 (or 180236009029 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 66.

The spelling of 268191181381584 in words is "two hundred sixty-eight trillion, one hundred ninety-one billion, one hundred eighty-one million, three hundred eighty-one thousand, five hundred eighty-four".