445348843544 has 64 divisors (see below), whose sum is σ = 914371476480. Its totient is φ = 201670128000.

The previous prime is 445348843543. The next prime is 445348843559.

445348843544 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 445348843544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445348843543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32521739 + ... + 32535429.

It is an arithmetic number, because the mean of its divisors is an integer number (14287054320).

Almost surely, 2^445348843544 is an apocalyptic number.

445348843544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445348843544 is an abundant number, since it is smaller than the sum of its proper divisors (469022632936).

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

445348843544 is a wasteful number, since it uses less digits than its factorization.

445348843544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15072 (or 15068 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 56.

The spelling of 445348843544 in words is "four hundred forty-five billion, three hundred forty-eight million, eight hundred forty-three thousand, five hundred forty-four".