829168045055 has 32 divisors (see below), whose sum is σ = 1165314826368. Its totient is φ = 554497689600.

The previous prime is 829168045049. The next prime is 829168045103. The reversal of 829168045055 is 550540861928.

829168045055 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 829168045055 - 2¹² = 829168040959 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 829168044988 and 829168045006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3786665 + ... + 3999645.

It is an arithmetic number, because the mean of its divisors is an integer number (36416088324).

Almost surely, 2^829168045055 is an apocalyptic number.

829168045055 is a deficient number, since it is larger than the sum of its proper divisors (336146781313).

829168045055 is a wasteful number, since it uses less digits than its factorization.

829168045055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215747.

The product of its (nonzero) digits is 3456000, while the sum is 53.

The spelling of 829168045055 in words is "eight hundred twenty-nine billion, one hundred sixty-eight million, forty-five thousand, fifty-five".