311643648 has 60 divisors (see below), whose sum is σ = 899437968. Its totient is φ = 103879680.

The previous prime is 311643641. The next prime is 311643659. The reversal of 311643648 is 846346113.

It is a happy number.

311643648 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 4 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311643641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29208 + ... + 38423.

Almost surely, 2^311643648 is an apocalyptic number.

It is an amenable number.

311643648 is an abundant number, since it is smaller than the sum of its proper divisors (587794320).

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

311643648 is an equidigital number, since it uses as much as digits as its factorization.

311643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67655 (or 67636 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 311643648 is about 17653.4316210758. The cubic root of 311643648 is about 677.9839712189.

It can be divided in two parts, 3116 and 43648, that added together give a palindrome (46764).

The spelling of 311643648 in words is "three hundred eleven million, six hundred forty-three thousand, six hundred forty-eight".