11554434200001 has 96 divisors (see below), whose sum is σ = 19973424559104. Its totient is φ = 5771665411200.

The previous prime is 11554434199963. The next prime is 11554434200011. The reversal of 11554434200001 is 10000243445511.

It is not a de Polignac number, because 11554434200001 - 2³⁴ = 11537254330817 is a prime.

It is a super-4 number, since 4×11554434200001⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11554434200011) 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 95 ways as a sum of consecutive naturals, for example, 34686826 + ... + 35018348.

It is an arithmetic number, because the mean of its divisors is an integer number (208056505824).

Almost surely, 2^{11554434200001} is an apocalyptic number.

11554434200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11554434200001 is a deficient number, since it is larger than the sum of its proper divisors (8418990359103).

11554434200001 is a wasteful number, since it uses less digits than its factorization.

11554434200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331763 (or 331732 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 11554434200001 its reverse (10000243445511), we get a palindrome (21554677645512).

The spelling of 11554434200001 in words is "eleven trillion, five hundred fifty-four billion, four hundred thirty-four million, two hundred thousand, one".