8024138301481 has 81 divisors (see below), whose sum is σ = 9032500049391. Its totient is φ = 7126959909888.

The previous prime is 8024138301479. The next prime is 8024138301601. The reversal of 8024138301481 is 1841038314208.

The square root of 8024138301481 is 2832691.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2433940091881 + 5590198209600 = 1560109^2 + 2364360^2 .

It is not a de Polignac number, because 8024138301481 - 2¹ = 8024138301479 is a prime.

It is a super-2 number, since 2×8024138301481² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8024138301451) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 82723075225 + ... + 82723075321.

Almost surely, 2^{8024138301481} is an apocalyptic number.

8024138301481 is the 2832691-st square number.

8024138301481 is the 1416346-th centered octagonal number.

It is an amenable number.

8024138301481 is a deficient number, since it is larger than the sum of its proper divisors (1008361747910).

8024138301481 is an frugal number, since it uses more digits than its factorization.

8024138301481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 8024138301481 in words is "eight trillion, twenty-four billion, one hundred thirty-eight million, three hundred one thousand, four hundred eighty-one".