381338873667 has 48 divisors (see below), whose sum is σ = 608764673088. Its totient is φ = 228799549440.

The previous prime is 381338873623. The next prime is 381338873681. The reversal of 381338873667 is 766378833183.

It is not a de Polignac number, because 381338873667 - 2³⁰ = 380265131843 is a prime.

It is not an unprimeable number, because it can be changed into a prime (381338878667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13220553 + ... + 13249365.

It is an arithmetic number, because the mean of its divisors is an integer number (12682597356).

Almost surely, 2^381338873667 is an apocalyptic number.

381338873667 is a deficient number, since it is larger than the sum of its proper divisors (227425799421).

381338873667 is a wasteful number, since it uses less digits than its factorization.

381338873667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32620 (or 32617 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 381338873667 in words is "three hundred eighty-one billion, three hundred thirty-eight million, eight hundred seventy-three thousand, six hundred sixty-seven".