1148444344320 has 1152 divisors, whose sum is σ = 4650626534400. Its totient is φ = 240459448320.

The previous prime is 1148444344279. The next prime is 1148444344349. The reversal of 1148444344320 is 234434448411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8766750655 + ... + 8766750785.

It is an arithmetic number, because the mean of its divisors is an integer number (4037002200).

Almost surely, 2^{1148444344320} is an apocalyptic number.

1148444344320 is a gapful number since it is divisible by the number (10) 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 1148444344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325313267200).

1148444344320 is an abundant number, since it is smaller than the sum of its proper divisors (3502182190080).

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

1148444344320 is an frugal number, since it uses more digits than its factorization.

1148444344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 1148444344320 in words is "one trillion, one hundred forty-eight billion, four hundred forty-four million, three hundred forty-four thousand, three hundred twenty".