11617742838 has 128 divisors (see below), whose sum is σ = 27349217280. Its totient is φ = 3261565440.

The previous prime is 11617742833. The next prime is 11617742953. The reversal of 11617742838 is 83824771611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11617742833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3013320 + ... + 3017172.

It is an arithmetic number, because the mean of its divisors is an integer number (213665760).

Almost surely, 2^11617742838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11617742838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13674608640).

11617742838 is an abundant number, since it is smaller than the sum of its proper divisors (15731474442).

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

11617742838 is a wasteful number, since it uses less digits than its factorization.

11617742838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974.

The product of its digits is 451584, while the sum is 48.

The spelling of 11617742838 in words is "eleven billion, six hundred seventeen million, seven hundred forty-two thousand, eight hundred thirty-eight".