346991345856 has 140 divisors (see below), whose sum is σ = 1031543682400. Its totient is φ = 115331765760.

The previous prime is 346991345849. The next prime is 346991345861. The reversal of 346991345856 is 658543199643.

346991345856 is a `hidden beast` number, since 3 + 46 + 9 + 9 + 1 + 3 + 4 + 585 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 346991345793 and 346991345802.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1713321 + ... + 1905111.

It is an arithmetic number, because the mean of its divisors is an integer number (7368169160).

Almost surely, 2^346991345856 is an apocalyptic number.

346991345856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346991345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515771841200).

346991345856 is an abundant number, since it is smaller than the sum of its proper divisors (684552336544).

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

346991345856 is a wasteful number, since it uses less digits than its factorization.

346991345856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192164 (or 192145 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 346991345856 in words is "three hundred forty-six billion, nine hundred ninety-one million, three hundred forty-five thousand, eight hundred fifty-six".