314115354312201 has 32 divisors (see below), whose sum is σ = 509646815664000. Its totient is φ = 190025455529664.

The previous prime is 314115354312187. The next prime is 314115354312211. The reversal of 314115354312201 is 102213453511413.

314115354312201 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 15 + 3 + 5 + 431 + 2 + 201 = 666.

It is not a de Polignac number, because 314115354312201 - 2¹⁴ = 314115354295817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314115354312211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7584009286 + ... + 7584050703.

It is an arithmetic number, because the mean of its divisors is an integer number (15926462989500).

Almost surely, 2^{314115354312201} is an apocalyptic number.

It is an amenable number.

314115354312201 is a deficient number, since it is larger than the sum of its proper divisors (195531461351799).

314115354312201 is a wasteful number, since it uses less digits than its factorization.

314115354312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15168060070 (or 15168060064 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 314115354312201 in words is "three hundred fourteen trillion, one hundred fifteen billion, three hundred fifty-four million, three hundred twelve thousand, two hundred one".