829413373149 has 12 divisors (see below), whose sum is σ = 1198051672896. Its totient is φ = 552937571592.

The previous prime is 829413373141. The next prime is 829413373153. The reversal of 829413373149 is 941373314928.

829413373149 is a `hidden beast` number, since 8 + 294 + 1 + 3 + 37 + 314 + 9 = 666.

It is not a de Polignac number, because 829413373149 - 2³ = 829413373141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829413373095 and 829413373104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829413373141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 990652 + ... + 1624874.

It is an arithmetic number, because the mean of its divisors is an integer number (99837639408).

Almost surely, 2^829413373149 is an apocalyptic number.

It is an amenable number.

829413373149 is a deficient number, since it is larger than the sum of its proper divisors (368638299747).

829413373149 is a wasteful number, since it uses less digits than its factorization.

829413373149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779536 (or 779533 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 829413373149 in words is "eight hundred twenty-nine billion, four hundred thirteen million, three hundred seventy-three thousand, one hundred forty-nine".