1268566848 has 126 divisors (see below), whose sum is σ = 3718854386. Its totient is φ = 413443584.

The previous prime is 1268566813. The next prime is 1268566853. The reversal of 1268566848 is 8486658621.

1268566848 is a `hidden beast` number, since 12 + 68 + 566 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1222761024 + 45805824 = 34968^2 + 6768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1268566794 and 1268566803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1271886 + ... + 1272882.

Almost surely, 2^1268566848 is an apocalyptic number.

1268566848 is a gapful number since it is divisible by the number (18) 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 1268566848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859427193).

1268566848 is an abundant number, since it is smaller than the sum of its proper divisors (2450287538).

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

1268566848 is an equidigital number, since it uses as much as digits as its factorization.

1268566848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1049 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 1268566848 is about 35616.9460790787. The cubic root of 1268566848 is about 1082.5246287601.

The spelling of 1268566848 in words is "one billion, two hundred sixty-eight million, five hundred sixty-six thousand, eight hundred forty-eight".