346825416582468 has 72 divisors (see below), whose sum is σ = 885428484409560. Its totient is φ = 114457275417600.

The previous prime is 346825416582439. The next prime is 346825416582499. The reversal of 346825416582468 is 864285614528643.

346825416582468 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 2 + 541 + 6 + 58 + 24 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81327786948864 + 265497629633604 = 9018192^2 + 16294098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 346825416582396 and 346825416582405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60938796 + ... + 66386652.

Almost surely, 2^{346825416582468} is an apocalyptic number.

It is an amenable number.

346825416582468 is an abundant number, since it is smaller than the sum of its proper divisors (538603067827092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

346825416582468 is a wasteful number, since it uses less digits than its factorization.

346825416582468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465477 (or 5465472 counting only the distinct ones).

The product of its digits is 2123366400, while the sum is 72.

The spelling of 346825416582468 in words is "three hundred forty-six trillion, eight hundred twenty-five billion, four hundred sixteen million, five hundred eighty-two thousand, four hundred sixty-eight".