346464464643 has 48 divisors (see below), whose sum is σ = 582384230400. Its totient is φ = 203204905200.

The previous prime is 346464464639. The next prime is 346464464681.

346464464643 is a `hidden beast` number, since 3 + 4 + 64 + 64 + 464 + 64 + 3 = 666.

346464464643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346464464643 - 2² = 346464464639 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 346464464643.

It is not an unprimeable number, because it can be changed into a prime (346464464683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1609203 + ... + 1811756.

It is an arithmetic number, because the mean of its divisors is an integer number (12133004800).

Almost surely, 2^346464464643 is an apocalyptic number.

346464464643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346464464643 is a deficient number, since it is larger than the sum of its proper divisors (235919765757).

346464464643 is a wasteful number, since it uses less digits than its factorization.

346464464643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421021 (or 3421004 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 346464464643 in words is "three hundred forty-six billion, four hundred sixty-four million, four hundred sixty-four thousand, six hundred forty-three".