11312051841688 has 128 divisors (see below), whose sum is σ = 23495463936000. Its totient is φ = 5073823964160.

The previous prime is 11312051841653. The next prime is 11312051841799. The reversal of 11312051841688 is 88614815021311.

It is a super-2 number, since 2×11312051841688² (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 31 ways as a sum of consecutive naturals, for example, 218949603 + ... + 219001261.

It is an arithmetic number, because the mean of its divisors is an integer number (183558312000).

Almost surely, 2^{11312051841688} 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 11312051841688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11747731968000).

11312051841688 is an abundant number, since it is smaller than the sum of its proper divisors (12183412094312).

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

11312051841688 is a wasteful number, since it uses less digits than its factorization.

11312051841688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52145 (or 52141 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 49.

Adding to 11312051841688 its reverse (88614815021311), we get a palindrome (99926866862999).

The spelling of 11312051841688 in words is "eleven trillion, three hundred twelve billion, fifty-one million, eight hundred forty-one thousand, six hundred eighty-eight".