445665106800000 has 1152 divisors, whose sum is σ = 1642451477940000. Its totient is φ = 115941396480000.

The previous prime is 445665106799923. The next prime is 445665106800013. The reversal of 445665106800000 is 8601566544.

445665106800000 is a `hidden beast` number, since 4 + 4 + 56 + 6 + 510 + 6 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34153193476 + ... + 34153206524.

Almost surely, 2^{445665106800000} is an apocalyptic number.

445665106800000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445665106800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821225738970000).

445665106800000 is an abundant number, since it is smaller than the sum of its proper divisors (1196786371140000).

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

445665106800000 is a wasteful number, since it uses less digits than its factorization.

445665106800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13326 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 445665106800000 in words is "four hundred forty-five trillion, six hundred sixty-five billion, one hundred six million, eight hundred thousand".