11738837688 has 128 divisors (see below), whose sum is σ = 31983621120. Its totient is φ = 3576135680.

The previous prime is 11738837651. The next prime is 11738837729. The reversal of 11738837688 is 88673883711.

It is a super-3 number, since 3×11738837688³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2509720 + ... + 2514392.

It is an arithmetic number, because the mean of its divisors is an integer number (249872040).

Almost surely, 2^11738837688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11738837688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991810560).

11738837688 is an abundant number, since it is smaller than the sum of its proper divisors (20244783432).

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

11738837688 is a wasteful number, since it uses less digits than its factorization.

11738837688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4873 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 60.

The spelling of 11738837688 in words is "eleven billion, seven hundred thirty-eight million, eight hundred thirty-seven thousand, six hundred eighty-eight".