82493030656 has 81 divisors (see below), whose sum is σ = 170813631261. Its totient is φ = 39759885312.

The previous prime is 82493030623. The next prime is 82493030677. The reversal of 82493030656 is 65603039428.

It is a happy number.

The square root of 82493030656 is 287216.

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

It can be written as a sum of positive squares in only one way, i.e., 43257344256 + 39235686400 = 207984^2 + 198080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133267915 + ... + 133268533.

Almost surely, 2^82493030656 is an apocalyptic number.

82493030656 is the 287216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82493030656

82493030656 is an abundant number, since it is smaller than the sum of its proper divisors (88320600605).

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

82493030656 is an frugal number, since it uses more digits than its factorization.

82493030656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 82493030656 in words is "eighty-two billion, four hundred ninety-three million, thirty thousand, six hundred fifty-six".