311663718912 has 640 divisors, whose sum is σ = 1117176496128. Its totient is φ = 74848665600.

The previous prime is 311663718911. The next prime is 311663718941. The reversal of 311663718912 is 219817366113.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (311663718911) 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 63 ways as a sum of consecutive naturals, for example, 73659837 + ... + 73664067.

Almost surely, 2^311663718912 is an apocalyptic number.

311663718912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311663718912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558588248064).

311663718912 is an abundant number, since it is smaller than the sum of its proper divisors (805512777216).

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

311663718912 is a wasteful number, since it uses less digits than its factorization.

311663718912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4304 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The spelling of 311663718912 in words is "three hundred eleven billion, six hundred sixty-three million, seven hundred eighteen thousand, nine hundred twelve".