346495220066160 has 240 divisors, whose sum is σ = 1286821976345568. Its totient is φ = 82848172032000.

The previous prime is 346495220066147. The next prime is 346495220066207. The reversal of 346495220066160 is 61660022594643.

346495220066160 is a `hidden beast` number, since 3 + 4 + 6 + 49 + 522 + 0 + 0 + 66 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 346495220066097 and 346495220066106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299075241 + ... + 300231560.

Almost surely, 2^{346495220066160} is an apocalyptic number.

346495220066160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346495220066160 is an abundant number, since it is smaller than the sum of its proper divisors (940326756279408).

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

346495220066160 is a wasteful number, since it uses less digits than its factorization.

346495220066160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599306904 (or 599306895 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 346495220066160 in words is "three hundred forty-six trillion, four hundred ninety-five billion, two hundred twenty million, sixty-six thousand, one hundred sixty".