945800000334 has 160 divisors (see below), whose sum is σ = 2556203950080. Its totient is φ = 255335364288.

The previous prime is 945800000333. The next prime is 945800000359. The reversal of 945800000334 is 433000008549.

945800000334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×945800000334² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945800000333) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8194812 + ... + 8309424.

It is an arithmetic number, because the mean of its divisors is an integer number (15976274688).

Almost surely, 2^945800000334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945800000334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278101975040).

945800000334 is an abundant number, since it is smaller than the sum of its proper divisors (1610403949746).

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

945800000334 is a wasteful number, since it uses less digits than its factorization.

945800000334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115036 (or 115027 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 945800000334 in words is "nine hundred forty-five billion, eight hundred million, three hundred thirty-four", and thus it is an aban number.