1268801204544 has 168 divisors, whose sum is σ = 3653074979840. Its totient is φ = 421042406400.

The previous prime is 1268801204543. The next prime is 1268801204639. The reversal of 1268801204544 is 4454021088621.

1268801204544 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 80 + 1 + 20 + 4 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1268801204544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268801204543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274570554 + ... + 274575174.

Almost surely, 2^{1268801204544} 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 1268801204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826537489920).

1268801204544 is an abundant number, since it is smaller than the sum of its proper divisors (2384273775296).

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

1268801204544 is a wasteful number, since it uses less digits than its factorization.

1268801204544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1268801204544 in words is "one trillion, two hundred sixty-eight billion, eight hundred one million, two hundred four thousand, five hundred forty-four".