82332928263357 has 6 divisors (see below), whose sum is σ = 118925340824862. Its totient is φ = 54888618842232.

The previous prime is 82332928263337. The next prime is 82332928263367. The reversal of 82332928263357 is 75336282923328.

82332928263357 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 292 + 8 + 2 + 6 + 335 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57150787714596 + 25182140548761 = 7559814^2 + 5018181^2 .

It is not a de Polignac number, because 82332928263357 - 2²⁴ = 82332911486141 is a prime.

It is a super-3 number, since 3×82332928263357³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 82332928263294 and 82332928263303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82332928263307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4574051570178 + ... + 4574051570195.

It is an arithmetic number, because the mean of its divisors is an integer number (19820890137477).

Almost surely, 2^{82332928263357} is an apocalyptic number.

It is an amenable number.

82332928263357 is a deficient number, since it is larger than the sum of its proper divisors (36592412561505).

82332928263357 is a wasteful number, since it uses less digits than its factorization.

82332928263357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9148103140379 (or 9148103140376 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 82332928263357 in words is "eighty-two trillion, three hundred thirty-two billion, nine hundred twenty-eight million, two hundred sixty-three thousand, three hundred fifty-seven".