11411386195968 has 896 divisors, whose sum is σ = 40081677926400. Its totient is φ = 3169920614400.

The previous prime is 11411386195961. The next prime is 11411386195973. The reversal of 11411386195968 is 86959168311411.

11411386195968 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 3 + 8 + 619 + 5 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411386195961) 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, 1433047155 + ... + 1433055117.

Almost surely, 2^{11411386195968} is an apocalyptic number.

11411386195968 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 11411386195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20040838963200).

11411386195968 is an abundant number, since it is smaller than the sum of its proper divisors (28670291730432).

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

11411386195968 is a wasteful number, since it uses less digits than its factorization.

11411386195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8029 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 63.

The spelling of 11411386195968 in words is "eleven trillion, four hundred eleven billion, three hundred eighty-six million, one hundred ninety-five thousand, nine hundred sixty-eight".