311064389064 has 192 divisors, whose sum is σ = 990414734400. Its totient is φ = 86952614400.

The previous prime is 311064389039. The next prime is 311064389089. The reversal of 311064389064 is 460983460113.

It is an interprime number because it is at equal distance from previous prime (311064389039) and next prime (311064389089).

It is a super-2 number, since 2×311064389064² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16659894 + ... + 16678554.

It is an arithmetic number, because the mean of its divisors is an integer number (5158410075).

Almost surely, 2^311064389064 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 311064389064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495207367200).

311064389064 is an abundant number, since it is smaller than the sum of its proper divisors (679350345336).

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

311064389064 is a wasteful number, since it uses less digits than its factorization.

311064389064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20316 (or 20309 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 311064389064 in words is "three hundred eleven billion, sixty-four million, three hundred eighty-nine thousand, sixty-four".