48677945770205 has 64 divisors (see below), whose sum is σ = 63180287089920. Its totient is φ = 35927170406400.

The previous prime is 48677945770163. The next prime is 48677945770217. The reversal of 48677945770205 is 50207754977684.

48677945770205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48677945770205 - 2¹⁴ = 48677945753821 is a prime.

It is a super-3 number, since 3×48677945770205³ (a number of 42 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 179778254 + ... + 180048816.

It is an arithmetic number, because the mean of its divisors is an integer number (987191985780).

Almost surely, 2^{48677945770205} is an apocalyptic number.

It is an amenable number.

48677945770205 is a deficient number, since it is larger than the sum of its proper divisors (14502341319715).

48677945770205 is a wasteful number, since it uses less digits than its factorization.

48677945770205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271262.

The product of its (nonzero) digits is 829785600, while the sum is 71.

The spelling of 48677945770205 in words is "forty-eight trillion, six hundred seventy-seven billion, nine hundred forty-five million, seven hundred seventy thousand, two hundred five".