311145648 has 40 divisors (see below), whose sum is σ = 876866496. Its totient is φ = 94286400.

The previous prime is 311145631. The next prime is 311145649. The reversal of 311145648 is 846541113.

311145648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×311145648² = 193623228538679808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (311145649) 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 7 ways as a sum of consecutive naturals, for example, 294118 + ... + 295173.

Almost surely, 2^311145648 is an apocalyptic number.

It is an amenable number.

311145648 is an abundant number, since it is smaller than the sum of its proper divisors (565720848).

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

311145648 is a wasteful number, since it uses less digits than its factorization.

311145648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589313 (or 589307 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 311145648 is about 17639.3210753702. The cubic root of 311145648 is about 677.6226439736.

The spelling of 311145648 in words is "three hundred eleven million, one hundred forty-five thousand, six hundred forty-eight".