62464664164681 has 27 divisors (see below), whose sum is σ = 64551183461877. Its totient is φ = 60444389878560.

The previous prime is 62464664164627. The next prime is 62464664164697. The reversal of 62464664164681 is 18646146646426.

The square root of 62464664164681 is 7903459.

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

62464664164681 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 4 ways, for example, as 18553048655625 + 43911615509056 = 4307325^2 + 6626584^2 .

It is not a de Polignac number, because 62464664164681 - 2¹⁵ = 62464664131913 is a prime.

It is a super-4 number, since 4×62464664164681⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (62464664164621) 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, 66381151671 + ... + 66381152611.

Almost surely, 2^{62464664164681} is an apocalyptic number.

62464664164681 is the 7903459-th square number.

62464664164681 is the 3951730-th centered octagonal number.

It is an amenable number.

62464664164681 is a deficient number, since it is larger than the sum of its proper divisors (2086519297196).

62464664164681 is an frugal number, since it uses more digits than its factorization.

62464664164681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 1205 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 64.

The spelling of 62464664164681 in words is "sixty-two trillion, four hundred sixty-four billion, six hundred sixty-four million, one hundred sixty-four thousand, six hundred eighty-one".