11642127173376 has 144 divisors (see below), whose sum is σ = 35426040781824. Its totient is φ = 3324953382912.

The previous prime is 11642127173371. The next prime is 11642127173377. The reversal of 11642127173376 is 67337172124611.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11642127173371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12657001 + ... + 13545623.

It is an arithmetic number, because the mean of its divisors is an integer number (246014172096).

Almost surely, 2^{11642127173376} is an apocalyptic number.

11642127173376 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 11642127173376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713020390912).

11642127173376 is an abundant number, since it is smaller than the sum of its proper divisors (23783913608448).

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

11642127173376 is an equidigital number, since it uses as much as digits as its factorization.

11642127173376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891086 (or 891072 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

Adding to 11642127173376 its reverse (67337172124611), we get a palindrome (78979299297987).

The spelling of 11642127173376 in words is "eleven trillion, six hundred forty-two billion, one hundred twenty-seven million, one hundred seventy-three thousand, three hundred seventy-six".