346115356406406 has 48 divisors (see below), whose sum is σ = 752864301528768. Its totient is φ = 114918329241600.

The previous prime is 346115356406363. The next prime is 346115356406441. The reversal of 346115356406406 is 604604653511643.

It is a happy number.

346115356406406 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 1 + 535 + 6 + 40 + 64 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116687971 + ... + 119617361.

It is an arithmetic number, because the mean of its divisors is an integer number (15684672948516).

Almost surely, 2^{346115356406406} is an apocalyptic number.

346115356406406 is an abundant number, since it is smaller than the sum of its proper divisors (406748945122362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

346115356406406 is a wasteful number, since it uses less digits than its factorization.

346115356406406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955197 (or 2955194 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 346115356406406 in words is "three hundred forty-six trillion, one hundred fifteen billion, three hundred fifty-six million, four hundred six thousand, four hundred six".