829868933223 has 48 divisors (see below), whose sum is σ = 1318712119296. Its totient is φ = 498709249920.

The previous prime is 829868933203. The next prime is 829868933233. The reversal of 829868933223 is 322339868928.

829868933223 is a `hidden beast` number, since 8 + 298 + 6 + 8 + 9 + 332 + 2 + 3 = 666.

It is not a de Polignac number, because 829868933223 - 2⁸ = 829868932967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829868933203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23456115 + ... + 23491467.

It is an arithmetic number, because the mean of its divisors is an integer number (27473169152).

Almost surely, 2^829868933223 is an apocalyptic number.

829868933223 is a deficient number, since it is larger than the sum of its proper divisors (488843186073).

829868933223 is a wasteful number, since it uses less digits than its factorization.

829868933223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37364 (or 37361 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 829868933223 in words is "eight hundred twenty-nine billion, eight hundred sixty-eight million, nine hundred thirty-three thousand, two hundred twenty-three".