311148864 has 280 divisors, whose sum is σ = 1049873440. Its totient is φ = 90699264.

The previous prime is 311148779. The next prime is 311148869. The reversal of 311148864 is 468841113.

It is a happy number.

311148864 is a `hidden beast` number, since 3 + 111 + 488 + 64 = 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 (311148869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16376247 + ... + 16376265.

It is an arithmetic number, because the mean of its divisors is an integer number (3749548).

Almost surely, 2^311148864 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 311148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524936720).

311148864 is an abundant number, since it is smaller than the sum of its proper divisors (738724576).

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

311148864 is an frugal number, since it uses more digits than its factorization.

311148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 37 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 311148864 is about 17639.4122351058. The cubic root of 311148864 is about 677.6249786004.

Adding to 311148864 its reverse (468841113), we get a palindrome (779989977).

The spelling of 311148864 in words is "three hundred eleven million, one hundred forty-eight thousand, eight hundred sixty-four".