823016838241 has 16 divisors (see below), whose sum is σ = 887257779408. Its totient is φ = 758909491200.

The previous prime is 823016838227. The next prime is 823016838251. The reversal of 823016838241 is 142838610328.

It can be written as a sum of positive squares in 8 ways, for example, as 220778756641 + 602238081600 = 469871^2 + 776040^2 .

It is a cyclic number.

It is not a de Polignac number, because 823016838241 - 2¹⁵ = 823016805473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 823016838191 and 823016838200.

It is not an unprimeable number, because it can be changed into a prime (823016838251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55239705 + ... + 55254601.

It is an arithmetic number, because the mean of its divisors is an integer number (55453611213).

Almost surely, 2^823016838241 is an apocalyptic number.

It is an amenable number.

823016838241 is a deficient number, since it is larger than the sum of its proper divisors (64240941167).

823016838241 is a wasteful number, since it uses less digits than its factorization.

823016838241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19092.

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 823016838241 in words is "eight hundred twenty-three billion, sixteen million, eight hundred thirty-eight thousand, two hundred forty-one".