1109961216 has 240 divisors, whose sum is σ = 3944164224. Its totient is φ = 292626432.

The previous prime is 1109961191. The next prime is 1109961233. The reversal of 1109961216 is 6121699011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418005 + ... + 420651.

Almost surely, 2^1109961216 is an apocalyptic number.

1109961216 is a gapful number since it is divisible by the number (16) 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 1109961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972082112).

1109961216 is an abundant number, since it is smaller than the sum of its proper divisors (2834203008).

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

1109961216 is a wasteful number, since it uses less digits than its factorization.

1109961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1109961216 is about 33316.0804417326. The cubic root of 1109961216 is about 1035.3867461766.

The spelling of 1109961216 in words is "one billion, one hundred nine million, nine hundred sixty-one thousand, two hundred sixteen".