445430142406656 has 585 divisors, whose sum is σ = 1463031247036359. Its totient is φ = 134938309017600.

The previous prime is 445430142406633. The next prime is 445430142406657. The reversal of 445430142406656 is 656604241034544.

The square root of 445430142406656 is 21105216.

It is a perfect power (a square), and thus also a powerful number.

445430142406656 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 30 + 142 + 406 + 65 + 6 = 666.

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 (445430142406657) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 133722646911 + ... + 133722650241.

Almost surely, 2^{445430142406656} is an apocalyptic number.

445430142406656 is the 21105216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445430142406656

445430142406656 is an abundant number, since it is smaller than the sum of its proper divisors (1017601104629703).

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

445430142406656 is an frugal number, since it uses more digits than its factorization.

445430142406656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 445430142406656 in words is "four hundred forty-five trillion, four hundred thirty billion, one hundred forty-two million, four hundred six thousand, six hundred fifty-six".