311126016 has 96 divisors (see below), whose sum is σ = 841276800. Its totient is φ = 102236160.

The previous prime is 311125979. The next prime is 311126021. The reversal of 311126016 is 610621113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 311125983 and 311126001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485056 + ... + 485696.

It is an arithmetic number, because the mean of its divisors is an integer number (8763300).

Almost surely, 2^311126016 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 311126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420638400).

311126016 is an abundant number, since it is smaller than the sum of its proper divisors (530150784).

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

311126016 is an equidigital number, since it uses as much as digits as its factorization.

311126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 311126016 is about 17638.7645825891. The cubic root of 311126016 is about 677.6083919476.

Adding to 311126016 its reverse (610621113), we get a palindrome (921747129).

It can be divided in two parts, 31112 and 6016, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 311126016 in words is "three hundred eleven million, one hundred twenty-six thousand, sixteen".