11373867648 has 576 divisors, whose sum is σ = 39834737280. Its totient is φ = 3086254080.

The previous prime is 11373867643. The next prime is 11373867679. The reversal of 11373867648 is 84676837311.

11373867648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (4064256) is a multiple of the sum of its prime divisors (189).

It is a junction number, because it is equal to n+sod(n) for n = 11373867594 and 11373867603.

It is not an unprimeable number, because it can be changed into a prime (11373867643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100653640 + ... + 100653752.

It is an arithmetic number, because the mean of its divisors is an integer number (69157530).

Almost surely, 2^11373867648 is an apocalyptic number.

11373867648 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 11373867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19917368640).

11373867648 is an abundant number, since it is smaller than the sum of its proper divisors (28460869632).

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

11373867648 is a wasteful number, since it uses less digits than its factorization.

11373867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 11373867648 in words is "eleven billion, three hundred seventy-three million, eight hundred sixty-seven thousand, six hundred forty-eight".