1148791258368 has 1440 divisors, whose sum is σ = 4095210577920. Its totient is φ = 317290659840.

The previous prime is 1148791258327. The next prime is 1148791258379. The reversal of 1148791258368 is 8638521978411.

1148791258368 is a `hidden beast` number, since 1 + 1 + 48 + 7 + 9 + 1 + 2 + 583 + 6 + 8 = 666.

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 159 ways as a sum of consecutive naturals, for example, 8264685243 + ... + 8264685381.

Almost surely, 2^{1148791258368} is an apocalyptic number.

1148791258368 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 1148791258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047605288960).

1148791258368 is an abundant number, since it is smaller than the sum of its proper divisors (2946419319552).

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

1148791258368 is a wasteful number, since it uses less digits than its factorization.

1148791258368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 1148791258368 in words is "one trillion, one hundred forty-eight billion, seven hundred ninety-one million, two hundred fifty-eight thousand, three hundred sixty-eight".