445678742304 has 288 divisors, whose sum is σ = 1307674368000. Its totient is φ = 143912812032.

The previous prime is 445678742291. The next prime is 445678742357. The reversal of 445678742304 is 403247876544.

445678742304 is a `hidden beast` number, since 4 + 4 + 567 + 8 + 7 + 42 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015213317 + ... + 1015213755.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536000).

Almost surely, 2^445678742304 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 445678742304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653837184000).

445678742304 is an abundant number, since it is smaller than the sum of its proper divisors (861995625696).

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

445678742304 is a wasteful number, since it uses less digits than its factorization.

445678742304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 445678742304 in words is "four hundred forty-five billion, six hundred seventy-eight million, seven hundred forty-two thousand, three hundred four".