11131947639968 has 96 divisors (see below), whose sum is σ = 22494648008448. Its totient is φ = 5419566028800.

The previous prime is 11131947639941. The next prime is 11131947639977. The reversal of 11131947639968 is 86993674913111.

11131947639968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11131947639898 and 11131947639907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1620131573 + ... + 1620138443.

It is an arithmetic number, because the mean of its divisors is an integer number (234319250088).

Almost surely, 2^{11131947639968} 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 11131947639968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11247324004224).

11131947639968 is an abundant number, since it is smaller than the sum of its proper divisors (11362700368480).

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

11131947639968 is a wasteful number, since it uses less digits than its factorization.

11131947639968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166 (or 9158 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 68.

The spelling of 11131947639968 in words is "eleven trillion, one hundred thirty-one billion, nine hundred forty-seven million, six hundred thirty-nine thousand, nine hundred sixty-eight".