34444315053252 has 108 divisors (see below), whose sum is σ = 94283240095044. Its totient is φ = 10597917208320.

The previous prime is 34444315053229. The next prime is 34444315053263. The reversal of 34444315053252 is 25235051344443.

34444315053252 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 4 + 315 + 0 + 5 + 325 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1506059110656 + 32938255942596 = 1227216^2 + 5739186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34444315053198 and 34444315053207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 251693598 + ... + 251830410.

It is an arithmetic number, because the mean of its divisors is an integer number (872992963843).

Almost surely, 2^{34444315053252} is an apocalyptic number.

It is an amenable number.

34444315053252 is an abundant number, since it is smaller than the sum of its proper divisors (59838925041792).

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

34444315053252 is a wasteful number, since it uses less digits than its factorization.

34444315053252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178230 (or 178212 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 34444315053252 its reverse (25235051344443), we get a palindrome (59679366397695).

The spelling of 34444315053252 in words is "thirty-four trillion, four hundred forty-four billion, three hundred fifteen million, fifty-three thousand, two hundred fifty-two".