82629034164 has 36 divisors (see below), whose sum is σ = 210034712160. Its totient is φ = 27389137680.

The previous prime is 82629034141. The next prime is 82629034211. The reversal of 82629034164 is 46143092628.

82629034164 is a `hidden beast` number, since 8 + 2 + 629 + 0 + 3 + 4 + 16 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6404872 + ... + 6417759.

It is an arithmetic number, because the mean of its divisors is an integer number (5834297560).

Almost surely, 2^82629034164 is an apocalyptic number.

It is an amenable number.

82629034164 is an abundant number, since it is smaller than the sum of its proper divisors (127405677996).

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

82629034164 is a wasteful number, since it uses less digits than its factorization.

82629034164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12822820 (or 12822815 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 82629034164 in words is "eighty-two billion, six hundred twenty-nine million, thirty-four thousand, one hundred sixty-four".