1148843666880 has 1008 divisors, whose sum is σ = 5105430419040. Its totient is φ = 242378293248.

The previous prime is 1148843666857. The next prime is 1148843666891. The reversal of 1148843666880 is 886663488411.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71539812 + ... + 71555868.

It is an arithmetic number, because the mean of its divisors is an integer number (5064911130).

Almost surely, 2^{1148843666880} is an apocalyptic number.

1148843666880 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 1148843666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552715209520).

1148843666880 is an abundant number, since it is smaller than the sum of its proper divisors (3956586752160).

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

1148843666880 is a wasteful number, since it uses less digits than its factorization.

1148843666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16123 (or 16087 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 1148843666880 in words is "one trillion, one hundred forty-eight billion, eight hundred forty-three million, six hundred sixty-six thousand, eight hundred eighty".