268886195136 has 336 divisors, whose sum is σ = 911383540704. Its totient is φ = 77866500096.

The previous prime is 268886195101. The next prime is 268886195177. The reversal of 268886195136 is 631591688862.

268886195136 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 8 + 619 + 5 + 1 + 3 + 6 = 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, 3397876 + ... + 3476108.

It is an arithmetic number, because the mean of its divisors is an integer number (2712451014).

Almost surely, 2^268886195136 is an apocalyptic number.

268886195136 is a gapful number since it is divisible by the number (26) 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 268886195136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455691770352).

268886195136 is an abundant number, since it is smaller than the sum of its proper divisors (642497345568).

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

268886195136 is a wasteful number, since it uses less digits than its factorization.

268886195136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78290 (or 78268 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 268886195136 in words is "two hundred sixty-eight billion, eight hundred eighty-six million, one hundred ninety-five thousand, one hundred thirty-six".