34054424411201 has 16 divisors (see below), whose sum is σ = 36556642993104. Its totient is φ = 31607774152704.

The previous prime is 34054424411191. The next prime is 34054424411219. The reversal of 34054424411201 is 10211442445043.

It can be written as a sum of positive squares in 8 ways, for example, as 10758668176 + 34043665743025 = 103724^2 + 5834695^2 .

It is not a de Polignac number, because 34054424411201 - 2¹⁰ = 34054424410177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34054424431201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7049135 + ... + 10853531.

It is an arithmetic number, because the mean of its divisors is an integer number (2284790187069).

Almost surely, 2^{34054424411201} is an apocalyptic number.

It is an amenable number.

34054424411201 is a deficient number, since it is larger than the sum of its proper divisors (2502218581903).

34054424411201 is a wasteful number, since it uses less digits than its factorization.

34054424411201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811700.

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 34054424411201 its reverse (10211442445043), we get a palindrome (44265866856244).

The spelling of 34054424411201 in words is "thirty-four trillion, fifty-four billion, four hundred twenty-four million, four hundred eleven thousand, two hundred one".