311463664512 has 768 divisors, whose sum is σ = 1178440435200. Its totient is φ = 70728007680.

The previous prime is 311463664507. The next prime is 311463664517. The reversal of 311463664512 is 215466364113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311463664507) and next prime (311463664517).

It is a super-2 number, since 2×311463664512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311463664517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80334318 + ... + 80338194.

It is an arithmetic number, because the mean of its divisors is an integer number (1534427650).

Almost surely, 2^311463664512 is an apocalyptic number.

311463664512 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 311463664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589220217600).

311463664512 is an abundant number, since it is smaller than the sum of its proper divisors (866976770688).

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

311463664512 is a wasteful number, since it uses less digits than its factorization.

311463664512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3932 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 311463664512 in words is "three hundred eleven billion, four hundred sixty-three million, six hundred sixty-four thousand, five hundred twelve".