1148057066240 has 288 divisors, whose sum is σ = 3209981322240. Its totient is φ = 385243103232.

The previous prime is 1148057066201. The next prime is 1148057066257. The reversal of 1148057066240 is 426607508411.

It is a junction number, because it is equal to n+sod(n) for n = 1148057066191 and 1148057066200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208469567 + ... + 208475073.

It is an arithmetic number, because the mean of its divisors is an integer number (11145768480).

Almost surely, 2^{1148057066240} is an apocalyptic number.

1148057066240 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 1148057066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604990661120).

1148057066240 is an abundant number, since it is smaller than the sum of its proper divisors (2061924256000).

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

1148057066240 is an equidigital number, since it uses as much as digits as its factorization.

1148057066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6027 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 1148057066240 in words is "one trillion, one hundred forty-eight billion, fifty-seven million, sixty-six thousand, two hundred forty".