11400834493206 has 80 divisors (see below), whose sum is σ = 25681826016000. Its totient is φ = 3780130041072.

The previous prime is 11400834493201. The next prime is 11400834493207. The reversal of 11400834493206 is 60239443800411.

11400834493206 is a `hidden beast` number, since 1 + 1 + 400 + 8 + 34 + 4 + 9 + 3 + 206 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11400834493201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120490591 + ... + 120585173.

It is an arithmetic number, because the mean of its divisors is an integer number (321022825200).

Almost surely, 2^{11400834493206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400834493206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840913008000).

11400834493206 is an abundant number, since it is smaller than the sum of its proper divisors (14280991522794).

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

11400834493206 is a wasteful number, since it uses less digits than its factorization.

11400834493206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98535 (or 98526 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 11400834493206 in words is "eleven trillion, four hundred billion, eight hundred thirty-four million, four hundred ninety-three thousand, two hundred six".