82345711424056 has 32 divisors (see below), whose sum is σ = 154426573405440. Its totient is φ = 41165292599008.

The previous prime is 82345711424051. The next prime is 82345711424057. The reversal of 82345711424056 is 65042411754328.

It is a super-2 number, since 2×82345711424056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82345711423994 and 82345711424012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82345711424051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207257105 + ... + 1207325311.

It is an arithmetic number, because the mean of its divisors is an integer number (4825830418920).

Almost surely, 2^{82345711424056} is an apocalyptic number.

It is an amenable number.

82345711424056 is a deficient number, since it is larger than the sum of its proper divisors (72080861981384).

82345711424056 is a wasteful number, since it uses less digits than its factorization.

82345711424056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93723 (or 93719 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 82345711424056 in words is "eighty-two trillion, three hundred forty-five billion, seven hundred eleven million, four hundred twenty-four thousand, fifty-six".