1144001142816 has 192 divisors, whose sum is σ = 3620389893120. Its totient is φ = 308989762560.

The previous prime is 1144001142803. The next prime is 1144001142827. The reversal of 1144001142816 is 6182411004411.

It is a super-2 number, since 2×1144001142816² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5866726 + ... + 6058586.

It is an arithmetic number, because the mean of its divisors is an integer number (18856197360).

Almost surely, 2^{1144001142816} is an apocalyptic number.

1144001142816 is a gapful number since it is divisible by the number (16) 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 1144001142816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810194946560).

1144001142816 is an abundant number, since it is smaller than the sum of its proper divisors (2476388750304).

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

1144001142816 is a wasteful number, since it uses less digits than its factorization.

1144001142816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192367 (or 192359 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 1144001142816 in words is "one trillion, one hundred forty-four billion, one million, one hundred forty-two thousand, eight hundred sixteen".