1141864915968 has 1848 divisors, whose sum is σ = 4407441880320. Its totient is φ = 293462507520.

The previous prime is 1141864915967. The next prime is 1141864915969. The reversal of 1141864915968 is 8695194681411.

1141864915968 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 86 + 491 + 5 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1141864915967) and next prime (1141864915969).

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

It is not an unprimeable number, because it can be changed into a prime (1141864915967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 21544621030 + ... + 21544621082.

Almost surely, 2^{1141864915968} is an apocalyptic number.

1141864915968 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 1141864915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203720940160).

1141864915968 is an abundant number, since it is smaller than the sum of its proper divisors (3265576964352).

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

1141864915968 is an equidigital number, since it uses as much as digits as its factorization.

1141864915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 115 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 1141864915968 in words is "one trillion, one hundred forty-one billion, eight hundred sixty-four million, nine hundred fifteen thousand, nine hundred sixty-eight".