346125521643 has 16 divisors (see below), whose sum is σ = 509828160000. Its totient is φ = 207117686880.

The previous prime is 346125521611. The next prime is 346125521657.

346125521643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346125521643 - 2⁵ = 346125521611 is a prime.

It is a super-2 number, since 2×346125521643² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 346125521595 and 346125521604.

It is not an unprimeable number, because it can be changed into a prime (346125521683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66381268 + ... + 66386481.

It is an arithmetic number, because the mean of its divisors is an integer number (31864260000).

Almost surely, 2^346125521643 is an apocalyptic number.

346125521643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346125521643 is a deficient number, since it is larger than the sum of its proper divisors (163702638357).

346125521643 is a wasteful number, since it uses less digits than its factorization.

346125521643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132767842.

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 346125 and 521643, that added together give a palindrome (867768).

The spelling of 346125521643 in words is "three hundred forty-six billion, one hundred twenty-five million, five hundred twenty-one thousand, six hundred forty-three".