384314118745667 has 32 divisors (see below), whose sum is σ = 439881723291648. Its totient is φ = 332555207040000.

The previous prime is 384314118745657. The next prime is 384314118745673. The reversal of 384314118745667 is 766547811413483.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 384314118745667 - 2³⁸ = 384039240838723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 384314118745597 and 384314118745606.

It is not an unprimeable number, because it can be changed into a prime (384314118745657) 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 31 ways as a sum of consecutive naturals, for example, 917759603 + ... + 918178259.

It is an arithmetic number, because the mean of its divisors is an integer number (13746303852864).

Almost surely, 2^{384314118745667} is an apocalyptic number.

384314118745667 is a deficient number, since it is larger than the sum of its proper divisors (55567604545981).

384314118745667 is a wasteful number, since it uses less digits than its factorization.

384314118745667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462891.

The product of its digits is 325140480, while the sum is 68.

The spelling of 384314118745667 in words is "three hundred eighty-four trillion, three hundred fourteen billion, one hundred eighteen million, seven hundred forty-five thousand, six hundred sixty-seven".