1311248664 has 96 divisors (see below), whose sum is σ = 3999191040. Its totient is φ = 384523200.

The previous prime is 1311248663. The next prime is 1311248689. The reversal of 1311248664 is 4668421131.

1311248664 is a `hidden beast` number, since 1 + 3 + 112 + 486 + 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 (1311248663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152 + ... + 51255.

It is an arithmetic number, because the mean of its divisors is an integer number (41658240).

Almost surely, 2^1311248664 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 1311248664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999595520).

1311248664 is an abundant number, since it is smaller than the sum of its proper divisors (2687942376).

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

1311248664 is a wasteful number, since it uses less digits than its factorization.

1311248664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53461 (or 53454 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1311248664 is about 36211.1676696568. The cubic root of 1311248664 is about 1094.5317219557.

Adding to 1311248664 its reverse (4668421131), we get a palindrome (5979669795).

It can be divided in two parts, 13112 and 48664, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 1311248664 in words is "one billion, three hundred eleven million, two hundred forty-eight thousand, six hundred sixty-four".