346331545133643 has 32 divisors (see below), whose sum is σ = 532168235296320. Its totient is φ = 222423256108800.

The previous prime is 346331545133641. The next prime is 346331545133689.

It is a happy number.

346331545133643 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 3 + 1 + 54 + 513 + 36 + 43 = 666.

346331545133643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346331545133643 - 2¹ = 346331545133641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 346331545133643.

It is not an unprimeable number, because it can be changed into a prime (346331545133641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1716127930 + ... + 1716329727.

It is an arithmetic number, because the mean of its divisors is an integer number (16630257353010).

Almost surely, 2^{346331545133643} is an apocalyptic number.

346331545133643 is a deficient number, since it is larger than the sum of its proper divisors (185836690162677).

346331545133643 is a wasteful number, since it uses less digits than its factorization.

346331545133643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432457804 (or 3432457798 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 346331545133643 in words is "three hundred forty-six trillion, three hundred thirty-one billion, five hundred forty-five million, one hundred thirty-three thousand, six hundred forty-three".