1148637583872 has 200 divisors, whose sum is σ = 3463737001956. Its totient is φ = 378930659328.

The previous prime is 1148637583843. The next prime is 1148637584023. The reversal of 1148637583872 is 2783857368411.

It is a happy number.

1148637583872 is a `hidden beast` number, since 1 + 1 + 48 + 6 + 3 + 7 + 583 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1050903818496 + 97733765376 = 1025136^2 + 312624^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3880018 + ... + 4165550.

Almost surely, 2^{1148637583872} is an apocalyptic number.

1148637583872 is a gapful number since it is divisible by the number (12) 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 1148637583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731868500978).

1148637583872 is an abundant number, since it is smaller than the sum of its proper divisors (2315099418084).

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

1148637583872 is an frugal number, since it uses more digits than its factorization.

1148637583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285660 (or 285635 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 1148637583872 in words is "one trillion, one hundred forty-eight billion, six hundred thirty-seven million, five hundred eighty-three thousand, eight hundred seventy-two".