444507252125350 has 48 divisors (see below), whose sum is σ = 845029694548800. Its totient is φ = 173884855450880.

The previous prime is 444507252125281. The next prime is 444507252125353. The reversal of 444507252125350 is 53521252705444.

It is a happy number.

It is a super-5 number, since 5×444507252125350⁵ (a number of 74 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 444507252125294 and 444507252125303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444507252125353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70342465 + ... + 76400764.

It is an arithmetic number, because the mean of its divisors is an integer number (17604785303100).

Almost surely, 2^{444507252125350} is an apocalyptic number.

444507252125350 is a deficient number, since it is larger than the sum of its proper divisors (400522442423450).

444507252125350 is a wasteful number, since it uses less digits than its factorization.

444507252125350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146744577 (or 146744572 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 49.

The spelling of 444507252125350 in words is "four hundred forty-four trillion, five hundred seven billion, two hundred fifty-two million, one hundred twenty-five thousand, three hundred fifty".