11109581604 has 81 divisors (see below), whose sum is σ = 30886940721. Its totient is φ = 3364431840.

The previous prime is 11109581563. The next prime is 11109581621. The reversal of 11109581604 is 40618590111.

It is a happy number.

The square root of 11109581604 is 105402.

It is a perfect power (a square), and thus also a powerful number.

11109581604 is a `hidden beast` number, since 1 + 1 + 10 + 9 + 581 + 60 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2226896100 + 8882685504 = 47190^2 + 94248^2 .

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 26 ways as a sum of consecutive naturals, for example, 6955734 + ... + 6957330.

Almost surely, 2^11109581604 is an apocalyptic number.

11109581604 is the 105402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109581604

11109581604 is an abundant number, since it is smaller than the sum of its proper divisors (19777359117).

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

11109581604 is a wasteful number, since it uses less digits than its factorization.

11109581604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Multiplying 11109581604 by its sum of digits (36), we get a square (399944937744 = 632412²).

11109581604 divided by its sum of digits (36) gives a square (308599489 = 17567²).

The spelling of 11109581604 in words is "eleven billion, one hundred nine million, five hundred eighty-one thousand, six hundred four".