82245966705 has 160 divisors (see below), whose sum is σ = 173446859520. Its totient is φ = 36498055680.

The previous prime is 82245966701. The next prime is 82245966707. The reversal of 82245966705 is 50766954228.

It is not a de Polignac number, because 82245966705 - 2² = 82245966701 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82245966701) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77516875 + ... + 77517935.

It is an arithmetic number, because the mean of its divisors is an integer number (1084042872).

Almost surely, 2^82245966705 is an apocalyptic number.

It is an amenable number.

82245966705 is an abundant number, since it is smaller than the sum of its proper divisors (91200892815).

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

82245966705 is a wasteful number, since it uses less digits than its factorization.

82245966705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 82245966705 in words is "eighty-two billion, two hundred forty-five million, nine hundred sixty-six thousand, seven hundred five".