11460113280000 has 4620 divisors, whose sum is σ = 55776585091920. Its totient is φ = 2299207680000.

The previous prime is 11460113279981. The next prime is 11460113280041. The reversal of 11460113280000 is 8231106411.

It is a happy number.

11460113280000 is a `hidden beast` number, since 11 + 460 + 113 + 2 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4620).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 419 ways as a sum of consecutive naturals, for example, 395176319986 + ... + 395176320014.

It is an arithmetic number, because the mean of its divisors is an integer number (12072853916).

Almost surely, 2^{11460113280000} is an apocalyptic number.

11460113280000 is a gapful number since it is divisible by the number (10) 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 11460113280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27888292545960).

11460113280000 is an abundant number, since it is smaller than the sum of its proper divisors (44316471811920).

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

11460113280000 is an frugal number, since it uses more digits than its factorization.

11460113280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11460113280000 its reverse (8231106411), we get a palindrome (11468344386411).

The spelling of 11460113280000 in words is "eleven trillion, four hundred sixty billion, one hundred thirteen million, two hundred eighty thousand".