11320883958048 has 768 divisors, whose sum is σ = 37794979676160. Its totient is φ = 2894612889600.

The previous prime is 11320883958019. The next prime is 11320883958049. The reversal of 11320883958048 is 84085938802311.

It is a junction number, because it is equal to n+sod(n) for n = 11320883957982 and 11320883958000.

It is not an unprimeable number, because it can be changed into a prime (11320883958049) 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 127 ways as a sum of consecutive naturals, for example, 4319298178 + ... + 4319300798.

It is an arithmetic number, because the mean of its divisors is an integer number (49212213120).

Almost surely, 2^{11320883958048} 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 11320883958048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897489838080).

11320883958048 is an abundant number, since it is smaller than the sum of its proper divisors (26474095718112).

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

11320883958048 is a wasteful number, since it uses less digits than its factorization.

11320883958048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 11320883958048 in words is "eleven trillion, three hundred twenty billion, eight hundred eighty-three million, nine hundred fifty-eight thousand, forty-eight".