11013615348736 has 352 divisors, whose sum is σ = 29656490572800. Its totient is φ = 3948090163200.

The previous prime is 11013615348731. The next prime is 11013615348739. The reversal of 11013615348736 is 63784351631011.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 11013615348736.

It is not an unprimeable number, because it can be changed into a prime (11013615348731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318765190 + ... + 318799738.

Almost surely, 2^{11013615348736} is an apocalyptic number.

11013615348736 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 11013615348736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14828245286400).

11013615348736 is an abundant number, since it is smaller than the sum of its proper divisors (18642875224064).

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

11013615348736 is a wasteful number, since it uses less digits than its factorization.

11013615348736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34911 (or 34893 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Adding to 11013615348736 its reverse (63784351631011), we get a palindrome (74797966979747).

The spelling of 11013615348736 in words is "eleven trillion, thirteen billion, six hundred fifteen million, three hundred forty-eight thousand, seven hundred thirty-six".