311816869056 has 1344 divisors, whose sum is σ = 1250951869440. Its totient is φ = 74788945920.

The previous prime is 311816869051. The next prime is 311816869087. The reversal of 311816869056 is 650968618113.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×311816869056² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 311816868993 and 311816869011.

It is not an unprimeable number, because it can be changed into a prime (311816869051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5883337126 + ... + 5883337178.

It is an arithmetic number, because the mean of its divisors is an integer number (930767760).

Almost surely, 2^311816869056 is an apocalyptic number.

311816869056 is a gapful number since it is divisible by the number (36) 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 311816869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625475934720).

311816869056 is an abundant number, since it is smaller than the sum of its proper divisors (939135000384).

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

311816869056 is an equidigital number, since it uses as much as digits as its factorization.

311816869056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 311816869056 in words is "three hundred eleven billion, eight hundred sixteen million, eight hundred sixty-nine thousand, fifty-six".