1189105664 has 52 divisors (see below), whose sum is σ = 2517946164. Its totient is φ = 559546368.

The previous prime is 1189105661. The next prime is 1189105679. The reversal of 1189105664 is 4665019811.

It can be written as a sum of positive squares in 2 ways, for example, as 729432064 + 459673600 = 27008^2 + 21440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1189105661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61094 + ... + 78170.

Almost surely, 2^1189105664 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 1189105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258973082).

1189105664 is an abundant number, since it is smaller than the sum of its proper divisors (1328840500).

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

1189105664 is an equidigital number, since it uses as much as digits as its factorization.

1189105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17118 (or 17096 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 1189105664 is about 34483.4114321655. The cubic root of 1189105664 is about 1059.4329659798.

The spelling of 1189105664 in words is "one billion, one hundred eighty-nine million, one hundred five thousand, six hundred sixty-four".