11331003111948 has 108 divisors (see below), whose sum is σ = 32163693060408. Its totient is φ = 3486462445440.

The previous prime is 11331003111947. The next prime is 11331003112003. The reversal of 11331003111948 is 84911130013311.

11331003111948 is a `hidden beast` number, since 1 + 1 + 331 + 0 + 0 + 311 + 1 + 9 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11331003111947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34325113 + ... + 34653648.

Almost surely, 2^{11331003111948} is an apocalyptic number.

11331003111948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11331003111948 is an abundant number, since it is smaller than the sum of its proper divisors (20832689948460).

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

11331003111948 is a wasteful number, since it uses less digits than its factorization.

11331003111948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68978806 (or 68978779 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11331003111948 in words is "eleven trillion, three hundred thirty-one billion, three million, one hundred eleven thousand, nine hundred forty-eight".