4284448362656 has 384 divisors, whose sum is σ = 10932607107072. Its totient is φ = 1604768256000.

The previous prime is 4284448362643. The next prime is 4284448362659. The reversal of 4284448362656 is 6562638444824.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4284448362659) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1604060201 + ... + 1604062871.

It is an arithmetic number, because the mean of its divisors is an integer number (28470331008).

Almost surely, 2^{4284448362656} 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 4284448362656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466303553536).

4284448362656 is an abundant number, since it is smaller than the sum of its proper divisors (6648158744416).

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

4284448362656 is a wasteful number, since it uses less digits than its factorization.

4284448362656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2988 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 62.

The spelling of 4284448362656 in words is "four trillion, two hundred eighty-four billion, four hundred forty-eight million, three hundred sixty-two thousand, six hundred fifty-six".