445956222659544 has 768 divisors, whose sum is σ = 1325084758732800. Its totient is φ = 135037393920000.

The previous prime is 445956222659471. The next prime is 445956222659587.

445956222659544 is a `hidden beast` number, since 4 + 4 + 5 + 9 + 5 + 6 + 2 + 2 + 26 + 59 + 544 = 666.

445956222659544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306921005922 + ... + 306921007374.

It is an arithmetic number, because the mean of its divisors is an integer number (1725370779600).

Almost surely, 2^{445956222659544} 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 445956222659544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662542379366400).

445956222659544 is an abundant number, since it is smaller than the sum of its proper divisors (879128536073256).

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

445956222659544 is a wasteful number, since it uses less digits than its factorization.

445956222659544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2089 counting only the distinct ones).

The product of its digits is 3732480000, while the sum is 72.

The spelling of 445956222659544 in words is "four hundred forty-five trillion, nine hundred fifty-six billion, two hundred twenty-two million, six hundred fifty-nine thousand, five hundred forty-four".