1101181664 has 96 divisors (see below), whose sum is σ = 2547417600. Its totient is φ = 462960640.

The previous prime is 1101181661. The next prime is 1101181673. The reversal of 1101181664 is 4661811011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101181661) 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, 351497 + ... + 354615.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^1101181664 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 1101181664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273708800).

1101181664 is an abundant number, since it is smaller than the sum of its proper divisors (1446235936).

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

1101181664 is a wasteful number, since it uses less digits than its factorization.

1101181664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 1101181664 is about 33184.0573769996. The cubic root of 1101181664 is about 1032.6496220388.

Adding to 1101181664 its reverse (4661811011), we get a palindrome (5762992675).

The spelling of 1101181664 in words is "one billion, one hundred one million, one hundred eighty-one thousand, six hundred sixty-four".