7484400000013 has 2 divisors, whose sum is σ = 7484400000014. Its totient is φ = 7484400000012.

The previous prime is 7484399999941. The next prime is 7484400000059. The reversal of 7484400000013 is 3100000044847.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4585478325129 + 2898921674884 = 2141373^2 + 1702622^2 .

It is a cyclic number.

It is not a de Polignac number, because 7484400000013 - 2⁹ = 7484399999501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7484400000313) 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 as a sum of consecutive naturals, namely, 3742200000006 + 3742200000007.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200000007).

Almost surely, 2^{7484400000013} is an apocalyptic number.

It is an amenable number.

7484400000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7484400000013 is an equidigital number, since it uses as much as digits as its factorization.

7484400000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 7484400000013 in words is "seven trillion, four hundred eighty-four billion, four hundred million, thirteen", and thus it is an aban number.