11314520721648 has 400 divisors, whose sum is σ = 34106749028352. Its totient is φ = 3617286336000.

The previous prime is 11314520721641. The next prime is 11314520721739. The reversal of 11314520721648 is 84612702541311.

11314520721648 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 520 + 72 + 16 + 48 = 666.

11314520721648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314520721641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2261544715 + ... + 2261549717.

Almost surely, 2^{11314520721648} is an apocalyptic number.

11314520721648 is a gapful number since it is divisible by the number (18) 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 11314520721648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053374514176).

11314520721648 is an abundant number, since it is smaller than the sum of its proper divisors (22792228306704).

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

11314520721648 is a wasteful number, since it uses less digits than its factorization.

11314520721648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11314520721648 in words is "eleven trillion, three hundred fourteen billion, five hundred twenty million, seven hundred twenty-one thousand, six hundred forty-eight".