305341540164401 has 12 divisors (see below), whose sum is σ = 330662062589040. Its totient is φ = 281831602132080.

The previous prime is 305341540164377. The next prime is 305341540164403. The reversal of 305341540164401 is 104461045143503.

It is not a de Polignac number, because 305341540164401 - 2⁴⁶ = 234972795986737 is a prime.

It is a super-2 number, since 2×305341540164401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305341540164403) 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 11 ways as a sum of consecutive naturals, for example, 68761415 + ... + 73067196.

It is an arithmetic number, because the mean of its divisors is an integer number (27555171882420).

Almost surely, 2^{305341540164401} is an apocalyptic number.

It is an amenable number.

305341540164401 is a deficient number, since it is larger than the sum of its proper divisors (25320522424639).

305341540164401 is a wasteful number, since it uses less digits than its factorization.

305341540164401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141841376 (or 141841363 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 305341540164401 in words is "three hundred five trillion, three hundred forty-one billion, five hundred forty million, one hundred sixty-four thousand, four hundred one".