346405395065544 has 96 divisors (see below), whose sum is σ = 1030159835097120. Its totient is φ = 108676202363136.

The previous prime is 346405395065539. The next prime is 346405395065563. The reversal of 346405395065544 is 445560593504643.

346405395065544 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 0 + 5 + 39 + 50 + 6 + 5 + 544 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5240910354 + ... + 5240976449.

It is an arithmetic number, because the mean of its divisors is an integer number (10730831615595).

Almost surely, 2^{346405395065544} is an apocalyptic number.

346405395065544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

346405395065544 is an abundant number, since it is smaller than the sum of its proper divisors (683754440031576).

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

346405395065544 is a wasteful number, since it uses less digits than its factorization.

346405395065544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481886841 (or 10481886825 counting only the distinct ones).

The product of its (nonzero) digits is 466560000, while the sum is 63.

The spelling of 346405395065544 in words is "three hundred forty-six trillion, four hundred five billion, three hundred ninety-five million, sixty-five thousand, five hundred forty-four".