1130141785248 has 576 divisors, whose sum is σ = 4100927201280. Its totient is φ = 287400960000.

The previous prime is 1130141785217. The next prime is 1130141785249. The reversal of 1130141785248 is 8425871410311.

1130141785248 is a `hidden beast` number, since 1 + 13 + 0 + 1 + 41 + 78 + 524 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1130141785249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489026013 + ... + 489028323.

It is an arithmetic number, because the mean of its divisors is an integer number (7119665280).

Almost surely, 2^{1130141785248} is an apocalyptic number.

1130141785248 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 1130141785248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050463600640).

1130141785248 is an abundant number, since it is smaller than the sum of its proper divisors (2970785416032).

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

1130141785248 is a wasteful number, since it uses less digits than its factorization.

1130141785248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1130141785248 in words is "one trillion, one hundred thirty billion, one hundred forty-one million, seven hundred eighty-five thousand, two hundred forty-eight".