346440220416543 has 96 divisors (see below), whose sum is σ = 536215464345600. Its totient is φ = 196768321200000.

The previous prime is 346440220416523. The next prime is 346440220416553. The reversal of 346440220416543 is 345614022044643.

It is not a de Polignac number, because 346440220416543 - 2¹³ = 346440220408351 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 346440220416492 and 346440220416501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346440220416523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7361803548 + ... + 7361850606.

It is an arithmetic number, because the mean of its divisors is an integer number (5585577753600).

Almost surely, 2^{346440220416543} is an apocalyptic number.

346440220416543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346440220416543 is a deficient number, since it is larger than the sum of its proper divisors (189775243929057).

346440220416543 is a wasteful number, since it uses less digits than its factorization.

346440220416543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48445 (or 48344 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 346440220416543 in words is "three hundred forty-six trillion, four hundred forty billion, two hundred twenty million, four hundred sixteen thousand, five hundred forty-three".