34446231054352 has 80 divisors (see below), whose sum is σ = 72135441630000. Its totient is φ = 15840365248512.

The previous prime is 34446231054349. The next prime is 34446231054379. The reversal of 34446231054352 is 25345013264443.

34446231054352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1224333398016 + 33221897656336 = 1106496^2 + 5763844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93387024 + ... + 93755152.

It is an arithmetic number, because the mean of its divisors is an integer number (901693020375).

Almost surely, 2^{34446231054352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34446231054352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36067720815000).

34446231054352 is an abundant number, since it is smaller than the sum of its proper divisors (37689210575648).

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

34446231054352 is a wasteful number, since it uses less digits than its factorization.

34446231054352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369788 (or 369782 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 46.

The spelling of 34446231054352 in words is "thirty-four trillion, four hundred forty-six billion, two hundred thirty-one million, fifty-four thousand, three hundred fifty-two".