1101384768 has 224 divisors, whose sum is σ = 3301788672. Its totient is φ = 321177600.

The previous prime is 1101384751. The next prime is 1101384847. The reversal of 1101384768 is 8674831011.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10693005 + ... + 10693107.

It is an arithmetic number, because the mean of its divisors is an integer number (14740128).

Almost surely, 2^1101384768 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 1101384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650894336).

1101384768 is an abundant number, since it is smaller than the sum of its proper divisors (2200403904).

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

1101384768 is a wasteful number, since it uses less digits than its factorization.

1101384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 1101384768 is about 33187.1175006206. The cubic root of 1101384768 is about 1032.7131060767.

The spelling of 1101384768 in words is "one billion, one hundred one million, three hundred eighty-four thousand, seven hundred sixty-eight".