314514145121 has 16 divisors (see below), whose sum is σ = 373618526400. Its totient is φ = 261532958400.

The previous prime is 314514145117. The next prime is 314514145189. The reversal of 314514145121 is 121541415413.

It is a cyclic number.

It is not a de Polignac number, because 314514145121 - 2² = 314514145117 is a prime.

It is a super-3 number, since 3×314514145121³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314514145021) 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 15 ways as a sum of consecutive naturals, for example, 25939670 + ... + 25951791.

It is an arithmetic number, because the mean of its divisors is an integer number (23351157900).

Almost surely, 2^314514145121 is an apocalyptic number.

It is an amenable number.

314514145121 is a deficient number, since it is larger than the sum of its proper divisors (59104381279).

314514145121 is a wasteful number, since it uses less digits than its factorization.

314514145121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51891520.

The product of its digits is 9600, while the sum is 32.

The spelling of 314514145121 in words is "three hundred fourteen billion, five hundred fourteen million, one hundred forty-five thousand, one hundred twenty-one".