311412413013444 has 60 divisors (see below), whose sum is σ = 814500813280000. Its totient is φ = 103752209422512.

The previous prime is 311412413013419. The next prime is 311412413013451. The reversal of 311412413013444 is 444310314214113.

311412413013444 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 1 + 2 + 4 + 1 + 301 + 344 + 4 = 666.

It is a super-2 number, since 2×311412413013444² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 311412413013399 and 311412413013408.

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 19 ways as a sum of consecutive naturals, for example, 239759884 + ... + 241055235.

Almost surely, 2^{311412413013444} is an apocalyptic number.

It is an amenable number.

311412413013444 is an abundant number, since it is smaller than the sum of its proper divisors (503088400266556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311412413013444 is a wasteful number, since it uses less digits than its factorization.

311412413013444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480817134 (or 480817123 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 311412413013444 its reverse (444310314214113), we get a palindrome (755722727227557).

The spelling of 311412413013444 in words is "three hundred eleven trillion, four hundred twelve billion, four hundred thirteen million, thirteen thousand, four hundred forty-four".