311442005064345 has 8 divisors (see below), whose sum is σ = 498307208102976. Its totient is φ = 166102402700976.

The previous prime is 311442005064331. The next prime is 311442005064361. The reversal of 311442005064345 is 543460500244113.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 311442005064345 - 2¹⁷ = 311442004933273 is a prime.

It is a super-2 number, since 2×311442005064345² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311442005064297 and 311442005064306.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10381400168797 + ... + 10381400168826.

It is an arithmetic number, because the mean of its divisors is an integer number (62288401012872).

Almost surely, 2^{311442005064345} is an apocalyptic number.

It is an amenable number.

311442005064345 is a deficient number, since it is larger than the sum of its proper divisors (186865203038631).

311442005064345 is a wasteful number, since it uses less digits than its factorization.

311442005064345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20762800337631.

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 311442005064345 in words is "three hundred eleven trillion, four hundred forty-two billion, five million, sixty-four thousand, three hundred forty-five".