48161046113856 has 945 divisors, whose sum is σ = 157552573281701. Its totient is φ = 14065285957632.

The previous prime is 48161046113821. The next prime is 48161046113899. The reversal of 48161046113856 is 65831164016184.

The square root of 48161046113856 is 6939816.

It is a perfect power (a square), and thus also a powerful number.

48161046113856 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 10 + 4 + 611 + 3 + 8 + 5 + 6 = 666.

48161046113856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 48121747016256 + 39299097600 = 6936984^2 + 198240^2 .

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 134 ways as a sum of consecutive naturals, for example, 816288917155 + ... + 816288917213.

Almost surely, 2^{48161046113856} is an apocalyptic number.

48161046113856 is the 6939816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48161046113856

48161046113856 is an abundant number, since it is smaller than the sum of its proper divisors (109391527167845).

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

48161046113856 is an frugal number, since it uses more digits than its factorization.

48161046113856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 48161046113856 in words is "forty-eight trillion, one hundred sixty-one billion, forty-six million, one hundred thirteen thousand, eight hundred fifty-six".