82814530645 has 64 divisors (see below), whose sum is σ = 124879357440. Its totient is φ = 51217920000.

The previous prime is 82814530573. The next prime is 82814530649. The reversal of 82814530645 is 54603541828.

It is not a de Polignac number, because 82814530645 - 2²¹ = 82812433493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82814530595 and 82814530604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82814530649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27594145 + ... + 27597145.

It is an arithmetic number, because the mean of its divisors is an integer number (1951239960).

Almost surely, 2^82814530645 is an apocalyptic number.

It is an amenable number.

82814530645 is a deficient number, since it is larger than the sum of its proper divisors (42064826795).

82814530645 is a wasteful number, since it uses less digits than its factorization.

82814530645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566.

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 82814530645 in words is "eighty-two billion, eight hundred fourteen million, five hundred thirty thousand, six hundred forty-five".