829890084856401 has 24 divisors (see below), whose sum is σ = 1209717342602496. Its totient is φ = 548192100677760.

The previous prime is 829890084856381. The next prime is 829890084856489. The reversal of 829890084856401 is 104658480098928.

829890084856401 is a `hidden beast` number, since 8 + 2 + 9 + 8 + 90 + 0 + 84 + 8 + 56 + 401 = 666.

It is not a de Polignac number, because 829890084856401 - 2¹⁴ = 829890084840017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 829890084856401.

It is not an unprimeable number, because it can be changed into a prime (829890184856401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124617145 + ... + 131107638.

It is an arithmetic number, because the mean of its divisors is an integer number (50404889275104).

Almost surely, 2^{829890084856401} is an apocalyptic number.

It is an amenable number.

829890084856401 is a deficient number, since it is larger than the sum of its proper divisors (379827257746095).

829890084856401 is a wasteful number, since it uses less digits than its factorization.

829890084856401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255728093 (or 255728090 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 829890084856401 in words is "eight hundred twenty-nine trillion, eight hundred ninety billion, eighty-four million, eight hundred fifty-six thousand, four hundred one".