445666142208 has 864 divisors, whose sum is σ = 1539687502080. Its totient is φ = 113788846080.

The previous prime is 445666142179. The next prime is 445666142213. The reversal of 445666142208 is 802241666544.

It is a super-2 number, since 2×445666142208² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8408795110 + ... + 8408795162.

It is an arithmetic number, because the mean of its divisors is an integer number (1782045720).

Almost surely, 2^445666142208 is an apocalyptic number.

445666142208 is a gapful number since it is divisible by the number (48) 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 445666142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769843751040).

445666142208 is an abundant number, since it is smaller than the sum of its proper divisors (1094021359872).

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

445666142208 is a wasteful number, since it uses less digits than its factorization.

445666142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 445666142208 in words is "four hundred forty-five billion, six hundred sixty-six million, one hundred forty-two thousand, two hundred eight".