11291363050968 has 864 divisors, whose sum is σ = 42703897934880. Its totient is φ = 2668996915200.

The previous prime is 11291363050943. The next prime is 11291363051047. The reversal of 11291363050968 is 86905036319211.

11291363050968 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 13 + 63 + 0 + 509 + 68 = 666.

11291363050968 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 (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 394003296 + ... + 394031952.

It is an arithmetic number, because the mean of its divisors is an integer number (49425807795).

Almost surely, 2^{11291363050968} is an apocalyptic number.

11291363050968 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 11291363050968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21351948967440).

11291363050968 is an abundant number, since it is smaller than the sum of its proper divisors (31412534883912).

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

11291363050968 is a wasteful number, since it uses less digits than its factorization.

11291363050968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28789 (or 28764 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 11291363050968 in words is "eleven trillion, two hundred ninety-one billion, three hundred sixty-three million, fifty thousand, nine hundred sixty-eight".