314456540426241 has 8 divisors (see below), whose sum is σ = 419583451448544. Its totient is φ = 209483661510720.

The previous prime is 314456540426209. The next prime is 314456540426333. The reversal of 314456540426241 is 142624045654413.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 314456540426241 - 2⁵ = 314456540426209 is a prime.

It is a super-2 number, since 2×314456540426241² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (314456540426141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38508021931 + ... + 38508030096.

It is an arithmetic number, because the mean of its divisors is an integer number (52447931431068).

Almost surely, 2^{314456540426241} is an apocalyptic number.

It is an amenable number.

314456540426241 is a deficient number, since it is larger than the sum of its proper divisors (105126911022303).

314456540426241 is a wasteful number, since it uses less digits than its factorization.

314456540426241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77016053391.

The product of its (nonzero) digits is 11059200, while the sum is 51.

The spelling of 314456540426241 in words is "three hundred fourteen trillion, four hundred fifty-six billion, five hundred forty million, four hundred twenty-six thousand, two hundred forty-one".