1268544858336 has 576 divisors, whose sum is σ = 4302248670720. Its totient is φ = 347053178880.

The previous prime is 1268544858319. The next prime is 1268544858337. The reversal of 1268544858336 is 6338584458621.

1268544858336 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 5 + 4 + 48 + 583 + 3 + 6 = 666.

It is a super-2 number, since 2×1268544858336² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268544858337) 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 95 ways as a sum of consecutive naturals, for example, 1228019676 + ... + 1228020708.

It is an arithmetic number, because the mean of its divisors is an integer number (7469181720).

Almost surely, 2^{1268544858336} is an apocalyptic number.

1268544858336 is a gapful number since it is divisible by the number (16) 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 1268544858336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151124335360).

1268544858336 is an abundant number, since it is smaller than the sum of its proper divisors (3033703812384).

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

1268544858336 is a wasteful number, since it uses less digits than its factorization.

1268544858336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 1268544858336 in words is "one trillion, two hundred sixty-eight billion, five hundred forty-four million, eight hundred fifty-eight thousand, three hundred thirty-six".