346066265046060 has 288 divisors, whose sum is σ = 1174284396859392. Its totient is φ = 85045194120960.

The previous prime is 346066265045989. The next prime is 346066265046071. The reversal of 346066265046060 is 60640562660643.

346066265046060 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 6 + 6 + 26 + 5 + 0 + 4 + 606 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 346066265045988 and 346066265046006.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 33838345 + ... + 42862175.

It is an arithmetic number, because the mean of its divisors is an integer number (4077376377984).

Almost surely, 2^{346066265046060} is an apocalyptic number.

346066265046060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346066265046060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587142198429696).

346066265046060 is an abundant number, since it is smaller than the sum of its proper divisors (828218131813332).

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

346066265046060 is a wasteful number, since it uses less digits than its factorization.

346066265046060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9024475 (or 9024461 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 346066265046060 in words is "three hundred forty-six trillion, sixty-six billion, two hundred sixty-five million, forty-six thousand, sixty".