83012726321424 has 225 divisors, whose sum is σ = 241299279211221. Its totient is φ = 27552063168000.

The previous prime is 83012726321417. The next prime is 83012726321453. The reversal of 83012726321424 is 42412362721038.

The square root of 83012726321424 is 9111132.

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

83012726321424 is a `hidden beast` number, since 8 + 3 + 0 + 1 + 2 + 7 + 2 + 632 + 1 + 4 + 2 + 4 = 666.

83012726321424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22385199690000 + 60627526631424 = 4731300^2 + 7786368^2 .

It is a super-2 number, since 2×83012726321424² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83012726321424.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 110536253049 + ... + 110536253799.

Almost surely, 2^{83012726321424} is an apocalyptic number.

83012726321424 is the 9111132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83012726321424

83012726321424 is an abundant number, since it is smaller than the sum of its proper divisors (158286552889797).

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

83012726321424 is an frugal number, since it uses more digits than its factorization.

83012726321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 83012726321424 in words is "eighty-three trillion, twelve billion, seven hundred twenty-six million, three hundred twenty-one thousand, four hundred twenty-four".