1130339144448 has 216 divisors, whose sum is σ = 3295669465088. Its totient is φ = 372565702656.

The previous prime is 1130339144443. The next prime is 1130339144471. The reversal of 1130339144448 is 8444419330311.

It is a happy number.

1130339144448 is a `hidden beast` number, since 1 + 1 + 30 + 3 + 39 + 144 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (1130339144443) 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 23 ways as a sum of consecutive naturals, for example, 89824365 + ... + 89836947.

Almost surely, 2^{1130339144448} is an apocalyptic number.

1130339144448 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 1130339144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647834732544).

1130339144448 is an abundant number, since it is smaller than the sum of its proper divisors (2165330320640).

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

1130339144448 is a wasteful number, since it uses less digits than its factorization.

1130339144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1130339144448 in words is "one trillion, one hundred thirty billion, three hundred thirty-nine million, one hundred forty-four thousand, four hundred forty-eight".