1109541888 has 528 divisors, whose sum is σ = 4172604800. Its totient is φ = 292626432.

The previous prime is 1109541887. The next prime is 1109541889. The reversal of 1109541888 is 8881459011.

It is an interprime number because it is at equal distance from previous prime (1109541887) and next prime (1109541889).

It is not an unprimeable number, because it can be changed into a prime (1109541887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85349370 + ... + 85349382.

Almost surely, 2^1109541888 is an apocalyptic number.

1109541888 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 1109541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086302400).

1109541888 is an abundant number, since it is smaller than the sum of its proper divisors (3063062912).

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

1109541888 is an frugal number, since it uses more digits than its factorization.

1109541888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The square root of 1109541888 is about 33309.7866699863. The cubic root of 1109541888 is about 1035.2563448218.

The spelling of 1109541888 in words is "one billion, one hundred nine million, five hundred forty-one thousand, eight hundred eighty-eight".