346318142640625 has 49 divisors (see below), whose sum is σ = 441216986002633. Its totient is φ = 271827070450000.

The previous prime is 346318142640601. The next prime is 346318142640649. The reversal of 346318142640625 is 526046241813643.

The square root of 346318142640625 is 18609625.

The cubic root of 346318142640625 is 70225.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (346318142640601) and next prime (346318142640649).

It can be written as a sum of positive squares in 24 ways, for example, as 23009837078449 + 323308305562176 = 4796857^2 + 17980776^2 .

It is not a de Polignac number, because 346318142640625 - 2²⁵ = 346318109086193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 6534304578099 + ... + 6534304578151.

Almost surely, 2^{346318142640625} is an apocalyptic number.

346318142640625 is the 18609625-th square number.

346318142640625 is the 9304813-rd centered octagonal number.

It is an amenable number.

346318142640625 is a deficient number, since it is larger than the sum of its proper divisors (94898843362008).

346318142640625 is an frugal number, since it uses more digits than its factorization.

346318142640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 55.

The spelling of 346318142640625 in words is "three hundred forty-six trillion, three hundred eighteen billion, one hundred forty-two million, six hundred forty thousand, six hundred twenty-five".