445344222443544 has 512 divisors, whose sum is σ = 1303658400000000. Its totient is φ = 140685926105088.

The previous prime is 445344222443521. The next prime is 445344222443563.

It is a happy number.

445344222443544 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 4 + 42 + 2 + 244 + 354 + 4 = 666.

445344222443544 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356560625832 + ... + 356560627080.

It is an arithmetic number, because the mean of its divisors is an integer number (2546207812500).

Almost surely, 2^{445344222443544} 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 445344222443544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651829200000000).

445344222443544 is an abundant number, since it is smaller than the sum of its proper divisors (858314177556456).

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

445344222443544 is a wasteful number, since it uses less digits than its factorization.

445344222443544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3382 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 54.

The spelling of 445344222443544 in words is "four hundred forty-five trillion, three hundred forty-four billion, two hundred twenty-two million, four hundred forty-three thousand, five hundred forty-four".