314630293828041 has 45 divisors (see below), whose sum is σ = 486776313018853. Its totient is φ = 202517668946880.

The previous prime is 314630293828027. The next prime is 314630293828051. The reversal of 314630293828041 is 140828392036413.

The square root of 314630293828041 is 17737821.

It is a perfect power (a square), and thus also a powerful number.

314630293828041 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 30 + 293 + 8 + 280 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119459894112441 + 195170399715600 = 10929771^2 + 13970340^2 .

It is not a de Polignac number, because 314630293828041 - 2²³ = 314630285439433 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314630293828021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4629537301 + ... + 4629605261.

Almost surely, 2^{314630293828041} is an apocalyptic number.

314630293828041 is the 17737821-st square number.

314630293828041 is the 8868911-st centered octagonal number.

It is an amenable number.

314630293828041 is a deficient number, since it is larger than the sum of its proper divisors (172146019190812).

314630293828041 is an frugal number, since it uses more digits than its factorization.

314630293828041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135992 (or 67993 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 314630293828041 in words is "three hundred fourteen trillion, six hundred thirty billion, two hundred ninety-three million, eight hundred twenty-eight thousand, forty-one".