1151313965568 has 960 divisors, whose sum is σ = 3995189827200. Its totient is φ = 326069452800.

The previous prime is 1151313965567. The next prime is 1151313965591. The reversal of 1151313965568 is 8655693131511.

1151313965568 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 13 + 9 + 65 + 568 = 666.

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

Its product of digits (2916000) is a multiple of the sum of its prime factors (810).

It is not an unprimeable number, because it can be changed into a prime (1151313965561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1642387618 + ... + 1642388318.

It is an arithmetic number, because the mean of its divisors is an integer number (4161656070).

Almost surely, 2^{1151313965568} is an apocalyptic number.

1151313965568 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 1151313965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997594913600).

1151313965568 is an abundant number, since it is smaller than the sum of its proper divisors (2843875861632).

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

1151313965568 is a wasteful number, since it uses less digits than its factorization.

1151313965568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 775 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The spelling of 1151313965568 in words is "one trillion, one hundred fifty-one billion, three hundred thirteen million, nine hundred sixty-five thousand, five hundred sixty-eight".