5381346431835 has 256 divisors, whose sum is σ = 10836792576000. Its totient is φ = 2510734786560.

The previous prime is 5381346431803. The next prime is 5381346431843.

5381346431835 is a `hidden beast` number, since 5 + 3 + 81 + 346 + 43 + 183 + 5 = 666.

5381346431835 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5381346431835 - 2⁵ = 5381346431803 is a prime.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 5333345811 + ... + 5333346819.

It is an arithmetic number, because the mean of its divisors is an integer number (42331221000).

Almost surely, 2^{5381346431835} is an apocalyptic number.

5381346431835 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5381346431835 is an abundant number, since it is smaller than the sum of its proper divisors (5455446144165).

5381346431835 is a wasteful number, since it uses less digits than its factorization.

5381346431835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2037 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 5381346431835 in words is "five trillion, three hundred eighty-one billion, three hundred forty-six million, four hundred thirty-one thousand, eight hundred thirty-five".