311405568768 has 576 divisors, whose sum is σ = 1093077565440. Its totient is φ = 85573324800.

The previous prime is 311405568767. The next prime is 311405568779. The reversal of 311405568768 is 867865504113.

It is a happy number.

311405568768 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 0 + 5 + 568 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (311405568767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286481121 + ... + 286482207.

Almost surely, 2^311405568768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311405568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546538782720).

311405568768 is an abundant number, since it is smaller than the sum of its proper divisors (781671996672).

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

311405568768 is a wasteful number, since it uses less digits than its factorization.

311405568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 311405568768 in words is "three hundred eleven billion, four hundred five million, five hundred sixty-eight thousand, seven hundred sixty-eight".