442163747664 has 240 divisors, whose sum is σ = 1320299495424. Its totient is φ = 137814969600.

The previous prime is 442163747659. The next prime is 442163747693. The reversal of 442163747664 is 466747361244.

442163747664 is a `hidden beast` number, since 4 + 4 + 2 + 163 + 7 + 476 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 442163747664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228980779 + ... + 228982709.

Almost surely, 2^442163747664 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 442163747664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660149747712).

442163747664 is an abundant number, since it is smaller than the sum of its proper divisors (878135747760).

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

442163747664 is a wasteful number, since it uses less digits than its factorization.

442163747664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3477 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 442163747664 in words is "four hundred forty-two billion, one hundred sixty-three million, seven hundred forty-seven thousand, six hundred sixty-four".