346115356406523 has 18 divisors (see below), whose sum is σ = 549525666876732. Its totient is φ = 209766882669960.

The previous prime is 346115356406513. The next prime is 346115356406537. The reversal of 346115356406523 is 325604653511643.

346115356406523 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 1 + 53 + 5 + 64 + 0 + 6 + 523 = 666.

It is not a de Polignac number, because 346115356406523 - 2¹⁸ = 346115356144379 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 346115356406523.

It is not an unprimeable number, because it can be changed into a prime (346115356406513) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 158914303965 + ... + 158914306142.

It is an arithmetic number, because the mean of its divisors is an integer number (30529203715374).

Almost surely, 2^{346115356406523} is an apocalyptic number.

346115356406523 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

346115356406523 is a deficient number, since it is larger than the sum of its proper divisors (203410310470209).

346115356406523 is a wasteful number, since it uses less digits than its factorization.

346115356406523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317828610135 (or 317828610121 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 346115356406523 in words is "three hundred forty-six trillion, one hundred fifteen billion, three hundred fifty-six million, four hundred six thousand, five hundred twenty-three".