82634135870224 has 45 divisors (see below), whose sum is σ = 160733313242229. Its totient is φ = 41155205483520.

The previous prime is 82634135870201. The next prime is 82634135870239. The reversal of 82634135870224 is 42207853143628.

It is a happy number.

The square root of 82634135870224 is 9090332.

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., 2298049828624 + 80336086041600 = 1515932^2 + 8963040^2 .

It is a super-2 number, since 2×82634135870224² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9563024944 + ... + 9563033584.

Almost surely, 2^{82634135870224} is an apocalyptic number.

82634135870224 is the 9090332-nd square number.

It is an amenable number.

82634135870224 is a deficient number, since it is larger than the sum of its proper divisors (78099177372005).

82634135870224 is an frugal number, since it uses more digits than its factorization.

82634135870224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17816 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 82634135870224 in words is "eighty-two trillion, six hundred thirty-four billion, one hundred thirty-five million, eight hundred seventy thousand, two hundred twenty-four".