444513123555354 has 48 divisors (see below), whose sum is σ = 1108617862148160. Its totient is φ = 126090053542080.

The previous prime is 444513123555353. The next prime is 444513123555359. The reversal of 444513123555354 is 453555321315444.

444513123555354 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 1 + 3 + 1 + 2 + 35 + 553 + 54 = 666.

It is a super-3 number, since 3×444513123555354³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 444513123555354.

It is not an unprimeable number, because it can be changed into a prime (444513123555353) 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, 12690205267 + ... + 12690240294.

It is an arithmetic number, because the mean of its divisors is an integer number (23096205461420).

Almost surely, 2^{444513123555354} is an apocalyptic number.

444513123555354 is an abundant number, since it is smaller than the sum of its proper divisors (664104738592806).

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

444513123555354 is a wasteful number, since it uses less digits than its factorization.

444513123555354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25380445715 (or 25380445712 counting only the distinct ones).

The product of its digits is 43200000, while the sum is 54.

The spelling of 444513123555354 in words is "four hundred forty-four trillion, five hundred thirteen billion, one hundred twenty-three million, five hundred fifty-five thousand, three hundred fifty-four".