1144109191968 has 288 divisors, whose sum is σ = 3598957619712. Its totient is φ = 343168819200.

The previous prime is 1144109191943. The next prime is 1144109191991. The reversal of 1144109191968 is 8691919014411.

1144109191968 is a `hidden beast` number, since 1 + 1 + 441 + 0 + 9 + 1 + 9 + 196 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12551998 + ... + 12642818.

It is an arithmetic number, because the mean of its divisors is an integer number (12496380624).

Almost surely, 2^{1144109191968} is an apocalyptic number.

1144109191968 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 1144109191968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799478809856).

1144109191968 is an abundant number, since it is smaller than the sum of its proper divisors (2454848427744).

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

1144109191968 is a wasteful number, since it uses less digits than its factorization.

1144109191968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90968 (or 90957 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 1144109191968 in words is "one trillion, one hundred forty-four billion, one hundred nine million, one hundred ninety-one thousand, nine hundred sixty-eight".