11327186947968 has 192 divisors, whose sum is σ = 32699713737600. Its totient is φ = 3763635385344.

The previous prime is 11327186947913. The next prime is 11327186947981. The reversal of 11327186947968 is 86974968172311.

11327186947968 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 71 + 86 + 9 + 479 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11327186947968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11327186947896 and 11327186947905.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 528827563 + ... + 528848981.

It is an arithmetic number, because the mean of its divisors is an integer number (170311009050).

Almost surely, 2^{11327186947968} is an apocalyptic number.

11327186947968 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 11327186947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16349856868800).

11327186947968 is an abundant number, since it is smaller than the sum of its proper divisors (21372526789632).

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

11327186947968 is a wasteful number, since it uses less digits than its factorization.

11327186947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22889 (or 22874 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 11327186947968 in words is "eleven trillion, three hundred twenty-seven billion, one hundred eighty-six million, nine hundred forty-seven thousand, nine hundred sixty-eight".