1000355306346 has 144 divisors (see below), whose sum is σ = 2394093959712. Its totient is φ = 301652598720.

The previous prime is 1000355306317. The next prime is 1000355306371. The reversal of 1000355306346 is 6436035530001.

1000355306346 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 5 + 5 + 306 + 346 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1000355306346.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 493514185 + ... + 493516211.

It is an arithmetic number, because the mean of its divisors is an integer number (16625652498).

Almost surely, 2^{1000355306346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000355306346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197046979856).

1000355306346 is an abundant number, since it is smaller than the sum of its proper divisors (1393738653366).

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

1000355306346 is a wasteful number, since it uses less digits than its factorization.

1000355306346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 1000355306346 in words is "one trillion, three hundred fifty-five million, three hundred six thousand, three hundred forty-six".