346815842013543 has 144 divisors (see below), whose sum is σ = 556122777307776. Its totient is φ = 191624356385280.

The previous prime is 346815842013539. The next prime is 346815842013607. The reversal of 346815842013543 is 345310248518643.

It is not a de Polignac number, because 346815842013543 - 2² = 346815842013539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346815842013143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69210901908 + ... + 69210906918.

It is an arithmetic number, because the mean of its divisors is an integer number (3861963731304).

Almost surely, 2^{346815842013543} is an apocalyptic number.

346815842013543 is a deficient number, since it is larger than the sum of its proper divisors (209306935294233).

346815842013543 is a wasteful number, since it uses less digits than its factorization.

346815842013543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 346815842013543 in words is "three hundred forty-six trillion, eight hundred fifteen billion, eight hundred forty-two million, thirteen thousand, five hundred forty-three".