364005009841 has 16 divisors (see below), whose sum is σ = 406662442560. Its totient is φ = 322954470720.

The previous prime is 364005009761. The next prime is 364005009853. The reversal of 364005009841 is 148900500463.

It is a cyclic number.

It is not a de Polignac number, because 364005009841 - 2³¹ = 361857526193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 364005009794 and 364005009803.

It is not an unprimeable number, because it can be changed into a prime (364005009881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268231 + ... + 894403.

It is an arithmetic number, because the mean of its divisors is an integer number (25416402660).

Almost surely, 2^364005009841 is an apocalyptic number.

It is an amenable number.

364005009841 is a deficient number, since it is larger than the sum of its proper divisors (42657432719).

364005009841 is a wasteful number, since it uses less digits than its factorization.

364005009841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627456.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 364005009841 in words is "three hundred sixty-four billion, five million, nine thousand, eight hundred forty-one".