445397767793544 has 128 divisors (see below), whose sum is σ = 1155446682624000. Its totient is φ = 142922884769280.

The previous prime is 445397767793543. The next prime is 445397767793579.

445397767793544 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×445397767793544³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (445397767793543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669324732 + ... + 669989844.

It is an arithmetic number, because the mean of its divisors is an integer number (9026927208000).

Almost surely, 2^{445397767793544} 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 445397767793544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577723341312000).

445397767793544 is an abundant number, since it is smaller than the sum of its proper divisors (710048914830456).

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

445397767793544 is a wasteful number, since it uses less digits than its factorization.

445397767793544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669875 (or 669871 counting only the distinct ones).

The product of its digits is 67212633600, while the sum is 84.

The spelling of 445397767793544 in words is "four hundred forty-five trillion, three hundred ninety-seven billion, seven hundred sixty-seven million, seven hundred ninety-three thousand, five hundred forty-four".