11626366231344 has 160 divisors (see below), whose sum is σ = 31942983375360. Its totient is φ = 3633493248000.

The previous prime is 11626366231313. The next prime is 11626366231391. The reversal of 11626366231344 is 44313266362611.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 11626366231293 and 11626366231302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212843524 + ... + 212898140.

It is an arithmetic number, because the mean of its divisors is an integer number (199643646096).

Almost surely, 2^{11626366231344} 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 11626366231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15971491687680).

11626366231344 is an abundant number, since it is smaller than the sum of its proper divisors (20316617144016).

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

11626366231344 is a wasteful number, since it uses less digits than its factorization.

11626366231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57059 (or 57053 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 48.

The spelling of 11626366231344 in words is "eleven trillion, six hundred twenty-six billion, three hundred sixty-six million, two hundred thirty-one thousand, three hundred forty-four".