346461164643 has 8 divisors (see below), whose sum is σ = 503943512256. Its totient is φ = 209976463400.

The previous prime is 346461164633. The next prime is 346461164659.

346461164643 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 346461164643 - 2¹² = 346461160547 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 346461164592 and 346461164601.

It is not an unprimeable number, because it can be changed into a prime (346461164633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5249411553 + ... + 5249411618.

It is an arithmetic number, because the mean of its divisors is an integer number (62992939032).

Almost surely, 2^346461164643 is an apocalyptic number.

346461164643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346461164643 is a deficient number, since it is larger than the sum of its proper divisors (157482347613).

346461164643 is a wasteful number, since it uses less digits than its factorization.

346461164643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10498823185.

The product of its digits is 2985984, while the sum is 48.

The spelling of 346461164643 in words is "three hundred forty-six billion, four hundred sixty-one million, one hundred sixty-four thousand, six hundred forty-three".