311454454113 has 72 divisors (see below), whose sum is σ = 508434401384. Its totient is φ = 183450769920.

The previous prime is 311454454109. The next prime is 311454454133.

311454454113 is a `hidden beast` number, since 31 + 1 + 45 + 44 + 541 + 1 + 3 = 666.

311454454113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 266345791569 + 45108662544 = 516087^2 + 212388^2 .

It is not a de Polignac number, because 311454454113 - 2² = 311454454109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311454454133) 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 71 ways as a sum of consecutive naturals, for example, 40168245 + ... + 40175997.

Almost surely, 2^311454454113 is an apocalyptic number.

311454454113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311454454113 is a deficient number, since it is larger than the sum of its proper divisors (196979947271).

311454454113 is a wasteful number, since it uses less digits than its factorization.

311454454113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8801 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 311454 and 454113, that added together give a palindrome (765567).

The spelling of 311454454113 in words is "three hundred eleven billion, four hundred fifty-four million, four hundred fifty-four thousand, one hundred thirteen".