1131263664 has 80 divisors (see below), whose sum is σ = 2968247520. Its totient is φ = 371220480.

The previous prime is 1131263611. The next prime is 1131263669. The reversal of 1131263664 is 4663621311.

1131263664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1131263669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065694 + ... + 1066754.

It is an arithmetic number, because the mean of its divisors is an integer number (37103094).

Almost surely, 2^1131263664 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 1131263664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484123760).

1131263664 is an abundant number, since it is smaller than the sum of its proper divisors (1836983856).

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

1131263664 is a wasteful number, since it uses less digits than its factorization.

1131263664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 1131263664 is about 33634.2632444952. The cubic root of 1131263664 is about 1041.9685545260.

Adding to 1131263664 its reverse (4663621311), we get a palindrome (5794884975).

The spelling of 1131263664 in words is "one billion, one hundred thirty-one million, two hundred sixty-three thousand, six hundred sixty-four".