34214412113001 has 24 divisors (see below), whose sum is σ = 49509313977864. Its totient is φ = 22768779939840.

The previous prime is 34214412112973. The next prime is 34214412113051. The reversal of 34214412113001 is 10031121441243.

It is a happy number.

34214412113001 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 441 + 211 + 3 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26031179509776 + 8183232603225 = 5102076^2 + 2860635^2 .

It is not a de Polignac number, because 34214412113001 - 2¹⁷ = 34214411981929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34214412113051) 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 23 ways as a sum of consecutive naturals, for example, 24454935 + ... + 25816131.

It is an arithmetic number, because the mean of its divisors is an integer number (2062888082411).

Almost surely, 2^{34214412113001} is an apocalyptic number.

It is an amenable number.

34214412113001 is a deficient number, since it is larger than the sum of its proper divisors (15294901864863).

34214412113001 is a wasteful number, since it uses less digits than its factorization.

34214412113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366201 (or 1366198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34214412113001 its reverse (10031121441243), we get a palindrome (44245533554244).

The spelling of 34214412113001 in words is "thirty-four trillion, two hundred fourteen billion, four hundred twelve million, one hundred thirteen thousand, one".