11506321344 has 448 divisors, whose sum is σ = 38490826752. Its totient is φ = 2958950400.

The previous prime is 11506321319. The next prime is 11506321349. The reversal of 11506321344 is 44312360511.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506321349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66510442 + ... + 66510614.

It is an arithmetic number, because the mean of its divisors is an integer number (85917024).

Almost surely, 2^11506321344 is an apocalyptic number.

11506321344 is a gapful number since it is divisible by the number (14) 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 11506321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19245413376).

11506321344 is an abundant number, since it is smaller than the sum of its proper divisors (26984505408).

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

11506321344 is a wasteful number, since it uses less digits than its factorization.

11506321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11506321344 its reverse (44312360511), we get a palindrome (55818681855).

The spelling of 11506321344 in words is "eleven billion, five hundred six million, three hundred twenty-one thousand, three hundred forty-four".