445257222752544 has 192 divisors, whose sum is σ = 1241336431383552. Its totient is φ = 139498517606400.

The previous prime is 445257222752509. The next prime is 445257222752569.

445257222752544 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57702514 + ... + 64962254.

It is an arithmetic number, because the mean of its divisors is an integer number (6465293913456).

Almost surely, 2^{445257222752544} 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 445257222752544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620668215691776).

445257222752544 is an abundant number, since it is smaller than the sum of its proper divisors (796079208631008).

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

445257222752544 is a wasteful number, since it uses less digits than its factorization.

445257222752544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7260379 (or 7260371 counting only the distinct ones).

The product of its digits is 250880000, while the sum is 60.

The spelling of 445257222752544 in words is "four hundred forty-five trillion, two hundred fifty-seven billion, two hundred twenty-two million, seven hundred fifty-two thousand, five hundred forty-four".