305345344401 has 12 divisors (see below), whose sum is σ = 447096228228. Its totient is φ = 200775020544.

The previous prime is 305345344391. The next prime is 305345344411. The reversal of 305345344401 is 104443543503.

305345344401 is a `hidden beast` number, since 30 + 53 + 4 + 534 + 4 + 40 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (305345344391) and next prime (305345344411).

It can be written as a sum of positive squares in 2 ways, for example, as 257252854401 + 48092490000 = 507201^2 + 219300^2 .

It is not a de Polignac number, because 305345344401 - 2²¹ = 305343247249 is a prime.

It is a super-3 number, since 3×305345344401³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (305345344411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232377840 + ... + 232379153.

It is an arithmetic number, because the mean of its divisors is an integer number (37258019019).

Almost surely, 2^305345344401 is an apocalyptic number.

It is an amenable number.

305345344401 is a deficient number, since it is larger than the sum of its proper divisors (141750883827).

305345344401 is a wasteful number, since it uses less digits than its factorization.

305345344401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464757072 (or 464757069 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 305345344401 its reverse (104443543503), we get a palindrome (409788887904).

The spelling of 305345344401 in words is "three hundred five billion, three hundred forty-five million, three hundred forty-four thousand, four hundred one".