445968666000 has 2560 divisors, whose sum is σ = 2046589009920. Its totient is φ = 92378880000.

The previous prime is 445968665981. The next prime is 445968666001. The reversal of 445968666000 is 666869544.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (445968666001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 14386085985 + ... + 14386086015.

It is an arithmetic number, because the mean of its divisors is an integer number (799448832).

Almost surely, 2^445968666000 is an apocalyptic number.

445968666000 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 445968666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023294504960).

445968666000 is an abundant number, since it is smaller than the sum of its proper divisors (1600620343920).

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

445968666000 is a wasteful number, since it uses less digits than its factorization.

445968666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 445968666000 in words is "four hundred forty-five billion, nine hundred sixty-eight million, six hundred sixty-six thousand".