1101165408 has 192 divisors, whose sum is σ = 3696376320. Its totient is φ = 312408576.

The previous prime is 1101165407. The next prime is 1101165431. The reversal of 1101165408 is 8045611011.

1101165408 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 654 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101165407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985266 + ... + 986382.

It is an arithmetic number, because the mean of its divisors is an integer number (19251960).

Almost surely, 2^1101165408 is an apocalyptic number.

1101165408 is a gapful number since it is divisible by the number (18) 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 1101165408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848188160).

1101165408 is an abundant number, since it is smaller than the sum of its proper divisors (2595210912).

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

1101165408 is a wasteful number, since it uses less digits than its factorization.

1101165408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1101165408 is about 33183.8124391999. The cubic root of 1101165408 is about 1032.6445405778.

Adding to 1101165408 its reverse (8045611011), we get a palindrome (9146776419).

The spelling of 1101165408 in words is "one billion, one hundred one million, one hundred sixty-five thousand, four hundred eight".