11134605081600 has 6336 divisors, whose sum is σ = 59308029043200. Its totient is φ = 2023302758400.

The previous prime is 11134605081563. The next prime is 11134605081601. The reversal of 11134605081600 is 618050643111.

It is a happy number.

11134605081600 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 46 + 0 + 5 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134605081601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 586031846391 + ... + 586031846409.

Almost surely, 2^{11134605081600} is an apocalyptic number.

11134605081600 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 11134605081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29654014521600).

11134605081600 is an abundant number, since it is smaller than the sum of its proper divisors (48173423961600).

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

11134605081600 is a wasteful number, since it uses less digits than its factorization.

11134605081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11134605081600 in words is "eleven trillion, one hundred thirty-four billion, six hundred five million, eighty-one thousand, six hundred".