50481633618405 has 64 divisors (see below), whose sum is σ = 98051890832640. Its totient is φ = 24438914438400.

The previous prime is 50481633618373. The next prime is 50481633618431.

It is a happy number.

50481633618405 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 16 + 3 + 3 + 618 + 4 + 0 + 5 = 666.

50481633618405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 50481633618405 - 2⁵ = 50481633618373 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24732762 + ... + 26695931.

It is an arithmetic number, because the mean of its divisors is an integer number (1532060794260).

Almost surely, 2^{50481633618405} is an apocalyptic number.

50481633618405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

50481633618405 is a deficient number, since it is larger than the sum of its proper divisors (47570257214235).

50481633618405 is a wasteful number, since it uses less digits than its factorization.

50481633618405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51429379 (or 51429373 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 50481633618405 in words is "fifty trillion, four hundred eighty-one billion, six hundred thirty-three million, six hundred eighteen thousand, four hundred five".