11848107997440 has 3456 divisors, whose sum is σ = 52445271191040. Its totient is φ = 2522559283200.

The previous prime is 11848107997421. The next prime is 11848107997477. The reversal of 11848107997440 is 4479970184811.

11848107997440 is a `hidden beast` number, since 1 + 1 + 84 + 8 + 107 + 9 + 9 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 133124808916 + ... + 133124809004.

It is an arithmetic number, because the mean of its divisors is an integer number (15175136340).

Almost surely, 2^{11848107997440} is an apocalyptic number.

11848107997440 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 11848107997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26222635595520).

11848107997440 is an abundant number, since it is smaller than the sum of its proper divisors (40597163193600).

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

11848107997440 is a wasteful number, since it uses less digits than its factorization.

11848107997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 11848107997440 in words is "eleven trillion, eight hundred forty-eight billion, one hundred seven million, nine hundred ninety-seven thousand, four hundred forty".