706129082829 has 12 divisors (see below), whose sum is σ = 1020179975100. Its totient is φ = 470653147584.

The previous prime is 706129082809. The next prime is 706129082839. The reversal of 706129082829 is 928280921607.

706129082829 is a `hidden beast` number, since 70 + 6 + 1 + 290 + 8 + 282 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44018138025 + 662110944804 = 209805^2 + 813702^2 .

It is not a de Polignac number, because 706129082829 - 2⁵ = 706129082797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706129082809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8252934 + ... + 8338055.

It is an arithmetic number, because the mean of its divisors is an integer number (85014997925).

Almost surely, 2^706129082829 is an apocalyptic number.

It is an amenable number.

706129082829 is a deficient number, since it is larger than the sum of its proper divisors (314050892271).

706129082829 is a wasteful number, since it uses less digits than its factorization.

706129082829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16595724 (or 16595721 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 706129082829 in words is "seven hundred six billion, one hundred twenty-nine million, eighty-two thousand, eight hundred twenty-nine".