1141131664 has 40 divisors (see below), whose sum is σ = 2346646680. Its totient is φ = 535707648.

The previous prime is 1141131661. The next prime is 1141131671. The reversal of 1141131664 is 4661311411.

It can be written as a sum of positive squares in 4 ways, for example, as 132434064 + 1008697600 = 11508^2 + 31760^2 .

It is not an unprimeable number, because it can be changed into a prime (1141131661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112932 + ... + 122620.

It is an arithmetic number, because the mean of its divisors is an integer number (58666167).

Almost surely, 2^1141131664 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 1141131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173323340).

1141131664 is an abundant number, since it is smaller than the sum of its proper divisors (1205515016).

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

1141131664 is a wasteful number, since it uses less digits than its factorization.

1141131664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147 (or 10141 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 1141131664 is about 33780.6403728526. The cubic root of 1141131664 is about 1044.9894809042.

The spelling of 1141131664 in words is "one billion, one hundred forty-one million, one hundred thirty-one thousand, six hundred sixty-four".