345133150202401 has 16 divisors (see below), whose sum is σ = 377747205454080. Its totient is φ = 312725545076880.

The previous prime is 345133150202387. The next prime is 345133150202417. The reversal of 345133150202401 is 104202051331543.

It is a cyclic number.

It is not a de Polignac number, because 345133150202401 - 2⁷ = 345133150202273 is a prime.

It is a super-3 number, since 3×345133150202401³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345133150202431) 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 15 ways as a sum of consecutive naturals, for example, 106669290 + ... + 109857196.

It is an arithmetic number, because the mean of its divisors is an integer number (23609200340880).

Almost surely, 2^{345133150202401} is an apocalyptic number.

It is an amenable number.

345133150202401 is a deficient number, since it is larger than the sum of its proper divisors (32614055251679).

345133150202401 is a wasteful number, since it uses less digits than its factorization.

345133150202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220284.

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 345133150202401 in words is "three hundred forty-five trillion, one hundred thirty-three billion, one hundred fifty million, two hundred two thousand, four hundred one".