346332937450506 has 128 divisors (see below), whose sum is σ = 720372304963584. Its totient is φ = 110916086400000.

The previous prime is 346332937450483. The next prime is 346332937450627. The reversal of 346332937450506 is 605054739233643.

It is a super-2 number, since 2×346332937450506² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 346332937450506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93831734121 + ... + 93831737811.

It is an arithmetic number, because the mean of its divisors is an integer number (5627908632528).

Almost surely, 2^{346332937450506} is an apocalyptic number.

It is a pronic number, being equal to 18610022×18610023.

346332937450506 is an abundant number, since it is smaller than the sum of its proper divisors (374039367513078).

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

346332937450506 is a wasteful number, since it uses less digits than its factorization.

346332937450506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460.

The product of its (nonzero) digits is 146966400, while the sum is 60.

The spelling of 346332937450506 in words is "three hundred forty-six trillion, three hundred thirty-two billion, nine hundred thirty-seven million, four hundred fifty thousand, five hundred six".