1144856911968 has 576 divisors, whose sum is σ = 4201435090944. Its totient is φ = 286986240000.

The previous prime is 1144856911951. The next prime is 1144856911987. The reversal of 1144856911968 is 8691196584411.

1144856911968 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 8 + 569 + 1 + 1 + 9 + 68 = 666.

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

Its product of digits (14929920) is a multiple of the sum of its prime divisors (4608).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275667780 + ... + 275671932.

It is an arithmetic number, because the mean of its divisors is an integer number (7294158144).

Almost surely, 2^{1144856911968} is an apocalyptic number.

1144856911968 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 1144856911968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100717545472).

1144856911968 is an abundant number, since it is smaller than the sum of its proper divisors (3056578178976).

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

1144856911968 is a wasteful number, since it uses less digits than its factorization.

1144856911968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4608 counting only the distinct ones).

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

The spelling of 1144856911968 in words is "one trillion, one hundred forty-four billion, eight hundred fifty-six million, nine hundred eleven thousand, nine hundred sixty-eight".