346127007741521 has 8 divisors (see below), whose sum is σ = 346208080970304. Its totient is φ = 346045935795120.

The previous prime is 346127007741491. The next prime is 346127007741533. The reversal of 346127007741521 is 125147700721643.

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

It is a cyclic number.

It is not a de Polignac number, because 346127007741521 - 2³⁸ = 345852129834577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 346127007741521.

It is not an unprimeable number, because it can be changed into a prime (346127007741121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735561806 + ... + 736032216.

It is an arithmetic number, because the mean of its divisors is an integer number (43276010121288).

Almost surely, 2^{346127007741521} is an apocalyptic number.

It is an amenable number.

346127007741521 is a deficient number, since it is larger than the sum of its proper divisors (81073228783).

346127007741521 is a wasteful number, since it uses less digits than its factorization.

346127007741521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641191.

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 346127007741521 in words is "three hundred forty-six trillion, one hundred twenty-seven billion, seven million, seven hundred forty-one thousand, five hundred twenty-one".