82292472280458 has 72 divisors (see below), whose sum is σ = 196448556692388. Its totient is φ = 24877879488000.

The previous prime is 82292472280451. The next prime is 82292472280471. The reversal of 82292472280458 is 85408227429228.

82292472280458 is a `hidden beast` number, since 8 + 2 + 2 + 92 + 4 + 72 + 28 + 0 + 458 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68744279341089 + 13548192939369 = 8291217^2 + 3680787^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82292472280395 and 82292472280404.

It is not an unprimeable number, because it can be changed into a prime (82292472280451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43956583 + ... + 45790458.

Almost surely, 2^{82292472280458} is an apocalyptic number.

82292472280458 is an abundant number, since it is smaller than the sum of its proper divisors (114156084411930).

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

82292472280458 is a wasteful number, since it uses less digits than its factorization.

82292472280458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89747492 (or 89747478 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 82292472280458 in words is "eighty-two trillion, two hundred ninety-two billion, four hundred seventy-two million, two hundred eighty thousand, four hundred fifty-eight".