11137812911936 has 84 divisors (see below), whose sum is σ = 23499690720108. Its totient is φ = 5236518862848.

The previous prime is 11137812911891. The next prime is 11137812912047. The reversal of 11137812911936 is 63911921873111.

It can be written as a sum of positive squares in 6 ways, for example, as 4461997174336 + 6675815737600 = 2112344^2 + 2583760^2 .

It is a super-2 number, since 2×11137812911936² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19940660 + ... + 20491596.

Almost surely, 2^{11137812911936} is an apocalyptic number.

11137812911936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11137812911936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11749845360054).

11137812911936 is an abundant number, since it is smaller than the sum of its proper divisors (12361877808172).

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

11137812911936 is a wasteful number, since it uses less digits than its factorization.

11137812911936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552076 (or 552049 counting only the distinct ones).

The product of its digits is 489888, while the sum is 53.

The spelling of 11137812911936 in words is "eleven trillion, one hundred thirty-seven billion, eight hundred twelve million, nine hundred eleven thousand, nine hundred thirty-six".