7293616824481 has 32 divisors (see below), whose sum is σ = 8354201109408. Its totient is φ = 6308030545920.

The previous prime is 7293616824451. The next prime is 7293616824491. The reversal of 7293616824481 is 1844286163927.

7293616824481 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 16 ways, for example, as 2870940528225 + 4422676296256 = 1694385^2 + 2103016^2 .

It is a cyclic number.

It is not a de Polignac number, because 7293616824481 - 2⁷ = 7293616824353 is a prime.

It is a super-2 number, since 2×7293616824481² (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 (7293616824451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43648311 + ... + 43815091.

It is an arithmetic number, because the mean of its divisors is an integer number (261068784669).

Almost surely, 2^{7293616824481} is an apocalyptic number.

It is an amenable number.

7293616824481 is a deficient number, since it is larger than the sum of its proper divisors (1060584284927).

7293616824481 is a wasteful number, since it uses less digits than its factorization.

7293616824481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167701.

The product of its digits is 27869184, while the sum is 61.

The spelling of 7293616824481 in words is "seven trillion, two hundred ninety-three billion, six hundred sixteen million, eight hundred twenty-four thousand, four hundred eighty-one".