11138624217688 has 64 divisors (see below), whose sum is σ = 23030701125120. Its totient is φ = 5008199347200.

The previous prime is 11138624217683. The next prime is 11138624217713. The reversal of 11138624217688 is 88671242683111.

It is a super-2 number, since 2×11138624217688² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11138624217683) 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, 7347048 + ... + 8732488.

It is an arithmetic number, because the mean of its divisors is an integer number (359854705080).

Almost surely, 2^{11138624217688} 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 11138624217688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515350562560).

11138624217688 is an abundant number, since it is smaller than the sum of its proper divisors (11892076907432).

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

11138624217688 is a wasteful number, since it uses less digits than its factorization.

11138624217688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386448 (or 1386444 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 58.

The spelling of 11138624217688 in words is "eleven trillion, one hundred thirty-eight billion, six hundred twenty-four million, two hundred seventeen thousand, six hundred eighty-eight".