11411966688192 has 1120 divisors, whose sum is σ = 41438676787200. Its totient is φ = 3034609256448.

The previous prime is 11411966688127. The next prime is 11411966688197. The reversal of 11411966688192 is 29188666911411.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (8957952) is a multiple of the sum of its prime divisors (1296).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11411966688197) 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 159 ways as a sum of consecutive naturals, for example, 13601866909 + ... + 13601867747.

It is an arithmetic number, because the mean of its divisors is an integer number (36998818560).

Almost surely, 2^{11411966688192} is an apocalyptic number.

11411966688192 is a gapful number since it is divisible by the number (12) 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 11411966688192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20719338393600).

11411966688192 is an abundant number, since it is smaller than the sum of its proper divisors (30026710099008).

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

11411966688192 is a wasteful number, since it uses less digits than its factorization.

11411966688192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1296 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The spelling of 11411966688192 in words is "eleven trillion, four hundred eleven billion, nine hundred sixty-six million, six hundred eighty-eight thousand, one hundred ninety-two".