82331233206336 has 105 divisors (see below), whose sum is σ = 244057503871951. Its totient is φ = 27443526634368.

The previous prime is 82331233206259. The next prime is 82331233206337. The reversal of 82331233206336 is 63360233213328.

It is a happy number.

The square root of 82331233206336 is 9073656.

It is a perfect power (a square), and thus also a powerful number.

82331233206336 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 1 + 2 + 3 + 3 + 2 + 0 + 633 + 6 = 666.

It is a super-2 number, since 2×82331233206336² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82331233206291 and 82331233206300.

It is not an unprimeable number, because it can be changed into a prime (82331233206337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 653240221 + ... + 653366243.

Almost surely, 2^{82331233206336} is an apocalyptic number.

82331233206336 is the 9073656-th square number.

It is an amenable number.

82331233206336 is an abundant number, since it is smaller than the sum of its proper divisors (161726270665615).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82331233206336 is an frugal number, since it uses more digits than its factorization.

82331233206336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252070 (or 126028 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 82331233206336 in words is "eighty-two trillion, three hundred thirty-one billion, two hundred thirty-three million, two hundred six thousand, three hundred thirty-six".