11609413938 has 72 divisors (see below), whose sum is σ = 26614275948. Its totient is φ = 3796562016.

The previous prime is 11609413901. The next prime is 11609413943. The reversal of 11609413938 is 83931490611.

11609413938 is a `hidden beast` number, since 1 + 1 + 609 + 4 + 1 + 3 + 9 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11379982329 + 229431609 = 106677^2 + 15147^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11609413893 and 11609413902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 687120 + ... + 703812.

Almost surely, 2^11609413938 is an apocalyptic number.

11609413938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11609413938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13307137974).

11609413938 is an abundant number, since it is smaller than the sum of its proper divisors (15004862010).

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

11609413938 is an frugal number, since it uses more digits than its factorization.

11609413938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16772 (or 16751 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 11609413938 in words is "eleven billion, six hundred nine million, four hundred thirteen thousand, nine hundred thirty-eight".