334145505201 has 16 divisors (see below), whose sum is σ = 479730340800. Its totient is φ = 206106364928.

The previous prime is 334145505149. The next prime is 334145505209. The reversal of 334145505201 is 102505541433.

It is a cyclic number.

It is not a de Polignac number, because 334145505201 - 2¹³ = 334145497009 is a prime.

It is a super-2 number, since 2×334145505201² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (334145505209) 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 15 ways as a sum of consecutive naturals, for example, 55521336 + ... + 55527353.

It is an arithmetic number, because the mean of its divisors is an integer number (29983146300).

Almost surely, 2^334145505201 is an apocalyptic number.

It is an amenable number.

334145505201 is a deficient number, since it is larger than the sum of its proper divisors (145584835599).

334145505201 is a wasteful number, since it uses less digits than its factorization.

334145505201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111048768.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 334145505201 in words is "three hundred thirty-four billion, one hundred forty-five million, five hundred five thousand, two hundred one".