268690095648 has 384 divisors, whose sum is σ = 924440428800. Its totient is φ = 75126030336.

The previous prime is 268690095613. The next prime is 268690095697. The reversal of 268690095648 is 846590096862.

268690095648 is a `hidden beast` number, since 2 + 6 + 8 + 69 + 0 + 0 + 9 + 564 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5513115 + ... + 5561637.

It is an arithmetic number, because the mean of its divisors is an integer number (2407396950).

Almost surely, 2^268690095648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268690095648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462220214400).

268690095648 is an abundant number, since it is smaller than the sum of its proper divisors (655750333152).

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

268690095648 is a wasteful number, since it uses less digits than its factorization.

268690095648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48601 (or 48587 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 268690095648 in words is "two hundred sixty-eight billion, six hundred ninety million, ninety-five thousand, six hundred forty-eight".