48340997084160 has 1584 divisors, whose sum is σ = 192540258630720. Its totient is φ = 11120282173440.

The previous prime is 48340997084153. The next prime is 48340997084203. The reversal of 48340997084160 is 6148079904384.

48340997084160 is a `hidden beast` number, since 4 + 8 + 3 + 409 + 97 + 0 + 84 + 1 + 60 = 666.

48340997084160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37271392632 + ... + 37271393928.

It is an arithmetic number, because the mean of its divisors is an integer number (121553193580).

Almost surely, 2^{48340997084160} is an apocalyptic number.

48340997084160 is a gapful number since it is divisible by the number (40) 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 48340997084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96270129315360).

48340997084160 is an abundant number, since it is smaller than the sum of its proper divisors (144199261546560).

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

48340997084160 is a wasteful number, since it uses less digits than its factorization.

48340997084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 48340997084160 in words is "forty-eight trillion, three hundred forty billion, nine hundred ninety-seven million, eighty-four thousand, one hundred sixty".