829043142345 has 72 divisors (see below), whose sum is σ = 1638767632320. Its totient is φ = 384483654720.

The previous prime is 829043142293. The next prime is 829043142383. The reversal of 829043142345 is 543241340928.

829043142345 is a `hidden beast` number, since 8 + 290 + 4 + 3 + 14 + 2 + 345 = 666.

It is not a de Polignac number, because 829043142345 - 2⁹ = 829043141833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 829043142345.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1321165 + ... + 1844874.

It is an arithmetic number, because the mean of its divisors is an integer number (22760661560).

Almost surely, 2^829043142345 is an apocalyptic number.

It is an amenable number.

829043142345 is a deficient number, since it is larger than the sum of its proper divisors (809724489975).

829043142345 is a wasteful number, since it uses less digits than its factorization.

829043142345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166107 (or 3166081 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 829043142345 in words is "eight hundred twenty-nine billion, forty-three million, one hundred forty-two thousand, three hundred forty-five".