1130459029248 has 144 divisors (see below), whose sum is σ = 3158288856576. Its totient is φ = 358276976640.

The previous prime is 1130459029177. The next prime is 1130459029261. The reversal of 1130459029248 is 8429209540311.

It is a happy number.

It is a super-3 number, since 3×1130459029248³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1130459029197 and 1130459029206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2758278 + ... + 3141498.

It is an arithmetic number, because the mean of its divisors is an integer number (21932561504).

Almost surely, 2^{1130459029248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130459029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579144428288).

1130459029248 is an abundant number, since it is smaller than the sum of its proper divisors (2027829827328).

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

1130459029248 is a wasteful number, since it uses less digits than its factorization.

1130459029248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383430 (or 383416 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 1130459029248 in words is "one trillion, one hundred thirty billion, four hundred fifty-nine million, twenty-nine thousand, two hundred forty-eight".