11331048538968 has 256 divisors, whose sum is σ = 29506498560000. Its totient is φ = 3624218104320.

The previous prime is 11331048538961. The next prime is 11331048539011. The reversal of 11331048538968 is 86983584013311.

11331048538968 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 (11331048538961) 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, 5367620233 + ... + 5367622343.

It is an arithmetic number, because the mean of its divisors is an integer number (115259760000).

Almost surely, 2^{11331048538968} 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 11331048538968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753249280000).

11331048538968 is an abundant number, since it is smaller than the sum of its proper divisors (18175450021032).

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

11331048538968 is a wasteful number, since it uses less digits than its factorization.

11331048538968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 11331048538968 in words is "eleven trillion, three hundred thirty-one billion, forty-eight million, five hundred thirty-eight thousand, nine hundred sixty-eight".