1109264416 has 96 divisors (see below), whose sum is σ = 2516473008. Its totient is φ = 476774400.

The previous prime is 1109264411. The next prime is 1109264423. The reversal of 1109264416 is 6144629011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 571210000 + 538054416 = 23900^2 + 23196^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1109264411) 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, 713496 + ... + 715048.

Almost surely, 2^1109264416 is an apocalyptic number.

1109264416 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 1109264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258236504).

1109264416 is an abundant number, since it is smaller than the sum of its proper divisors (1407208592).

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

1109264416 is a wasteful number, since it uses less digits than its factorization.

1109264416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1109264416 is about 33305.6213873874. The cubic root of 1109264416 is about 1035.1700393534.

The spelling of 1109264416 in words is "one billion, one hundred nine million, two hundred sixty-four thousand, four hundred sixteen".