1141664000 has 72 divisors (see below), whose sum is σ = 2844107448. Its totient is φ = 456652800.

The previous prime is 1141663979. The next prime is 1141664003. The reversal of 1141664000 is 4661411.

It can be written as a sum of positive squares in 4 ways, for example, as 13778944 + 1127885056 = 3712^2 + 33584^2 .

It is not an unprimeable number, because it can be changed into a prime (1141664003) 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, 14162 + ... + 49838.

Almost surely, 2^1141664000 is an apocalyptic number.

1141664000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422053724).

1141664000 is an abundant number, since it is smaller than the sum of its proper divisors (1702443448).

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

1141664000 is an frugal number, since it uses more digits than its factorization.

1141664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35708 (or 35684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1141664000 is about 33788.5187600759. The cubic root of 1141664000 is about 1045.1519509206.

The spelling of 1141664000 in words is "one billion, one hundred forty-one million, six hundred sixty-four thousand".