268171555392 has 168 divisors, whose sum is σ = 876487595256. Its totient is φ = 77660504064.

The previous prime is 268171555373. The next prime is 268171555411. The reversal of 268171555392 is 293555171862.

268171555392 is a `hidden beast` number, since 2 + 6 + 81 + 7 + 1 + 5 + 553 + 9 + 2 = 666.

268171555392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268171555373) and next prime (268171555411).

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 267768991296 = 20064^2 + 517464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926043 + ... + 1180634.

It is an arithmetic number, because the mean of its divisors is an integer number (5217188067).

Almost surely, 2^268171555392 is an apocalyptic number.

It is an amenable number.

268171555392 is an abundant number, since it is smaller than the sum of its proper divisors (608316039864).

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

268171555392 is a wasteful number, since it uses less digits than its factorization.

268171555392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106725 (or 2106712 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 268171555392 in words is "two hundred sixty-eight billion, one hundred seventy-one million, five hundred fifty-five thousand, three hundred ninety-two".