62404138337641 has 27 divisors (see below), whose sum is σ = 64988302938039. Its totient is φ = 59920265890800.

The previous prime is 62404138337627. The next prime is 62404138337647. The reversal of 62404138337641 is 14673383140426.

The square root of 62404138337641 is 7899629.

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

62404138337641 is digitally balanced in base 2, 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., 32723216417241 + 29680921920400 = 5720421^2 + 5448020^2 .

It is not a de Polignac number, because 62404138337641 - 2¹⁷ = 62404138206569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (62404138337647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48337829206 + ... + 48337830496.

Almost surely, 2^{62404138337641} is an apocalyptic number.

62404138337641 is the 7899629-th square number.

62404138337641 is the 3949815-th centered octagonal number.

It is an amenable number.

62404138337641 is a deficient number, since it is larger than the sum of its proper divisors (2584164600398).

62404138337641 is an frugal number, since it uses more digits than its factorization.

62404138337641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 62404138337641 in words is "sixty-two trillion, four hundred four billion, one hundred thirty-eight million, three hundred thirty-seven thousand, six hundred forty-one".