359434834506 has 64 divisors (see below), whose sum is σ = 872018697600. Its totient is φ = 108836956800.

The previous prime is 359434834487. The next prime is 359434834513. The reversal of 359434834506 is 605438434953.

359434834506 is a `hidden beast` number, since 3 + 5 + 94 + 3 + 48 + 3 + 4 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555640 + ... + 1013708.

It is an arithmetic number, because the mean of its divisors is an integer number (13625292150).

Almost surely, 2^359434834506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359434834506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436009348800).

359434834506 is an abundant number, since it is smaller than the sum of its proper divisors (512583863094).

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

359434834506 is a wasteful number, since it uses less digits than its factorization.

359434834506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459412 (or 459406 counting only the distinct ones).

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

The spelling of 359434834506 in words is "three hundred fifty-nine billion, four hundred thirty-four million, eight hundred thirty-four thousand, five hundred six".