1268668827904 has 243 divisors, whose sum is σ = 2784891328513. Its totient is φ = 576692224000.

The previous prime is 1268668827889. The next prime is 1268668827913. The reversal of 1268668827904 is 4097288668621.

The square root of 1268668827904 is 1126352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 258145286400 + 1010523541504 = 508080^2 + 1005248^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1268668827904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12561077454 + ... + 12561077554.

Almost surely, 2^{1268668827904} is an apocalyptic number.

1268668827904 is the 1126352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268668827904

1268668827904 is an abundant number, since it is smaller than the sum of its proper divisors (1516222500609).

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

1268668827904 is an frugal number, since it uses more digits than its factorization.

1268668827904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 67.

The spelling of 1268668827904 in words is "one trillion, two hundred sixty-eight billion, six hundred sixty-eight million, eight hundred twenty-seven thousand, nine hundred four".