481306504126681 has 16 divisors (see below), whose sum is σ = 499899976576000. Its totient is φ = 462908070417600.

The previous prime is 481306504126631. The next prime is 481306504126703. The reversal of 481306504126681 is 186621405603184.

It is a cyclic number.

It is not a de Polignac number, because 481306504126681 - 2¹⁵ = 481306504093913 is a prime.

It is a super-2 number, since 2×481306504126681² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (481306504126631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18997101 + ... + 36379978.

It is an arithmetic number, because the mean of its divisors is an integer number (31243748536000).

Almost surely, 2^{481306504126681} is an apocalyptic number.

It is an amenable number.

481306504126681 is a deficient number, since it is larger than the sum of its proper divisors (18593472449319).

481306504126681 is a wasteful number, since it uses less digits than its factorization.

481306504126681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55378840.

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 481306504126681 in words is "four hundred eighty-one trillion, three hundred six billion, five hundred four million, one hundred twenty-six thousand, six hundred eighty-one".