444453141354444 has 288 divisors, whose sum is σ = 1186165663872000. Its totient is φ = 143911561023360.

The previous prime is 444453141354379. The next prime is 444453141354463.

444453141354444 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 5 + 3 + 141 + 3 + 54 + 444 = 666.

444453141354444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52716534909 + ... + 52716543339.

Almost surely, 2^{444453141354444} 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 444453141354444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593082831936000).

444453141354444 is an abundant number, since it is smaller than the sum of its proper divisors (741712522517556).

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

444453141354444 is a wasteful number, since it uses less digits than its factorization.

444453141354444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170 (or 10115 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 444453141354444 in words is "four hundred forty-four trillion, four hundred fifty-three billion, one hundred forty-one million, three hundred fifty-four thousand, four hundred forty-four".