1268361742464 has 256 divisors, whose sum is σ = 3799430640000. Its totient is φ = 421695590400.

The previous prime is 1268361742463. The next prime is 1268361742469. The reversal of 1268361742464 is 4642471638621.

1268361742464 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 3 + 6 + 174 + 2 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1268361742464.

It is not an unprimeable number, because it can be changed into a prime (1268361742463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112248687 + ... + 112259985.

Almost surely, 2^{1268361742464} 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 1268361742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899715320000).

1268361742464 is an abundant number, since it is smaller than the sum of its proper divisors (2531068897536).

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

1268361742464 is an frugal number, since it uses more digits than its factorization.

1268361742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735 (or 11705 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 1268361742464 in words is "one trillion, two hundred sixty-eight billion, three hundred sixty-one million, seven hundred forty-two thousand, four hundred sixty-four".