4302283216896 has 1440 divisors, whose sum is σ = 15963065118000. Its totient is φ = 1147764473856.

The previous prime is 4302283216873. The next prime is 4302283216921. The reversal of 4302283216896 is 6986123822034.

4302283216896 is a `hidden beast` number, since 4 + 3 + 0 + 228 + 321 + 6 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13745313636 + ... + 13745313948.

Almost surely, 2^{4302283216896} 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 4302283216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981532559000).

4302283216896 is an abundant number, since it is smaller than the sum of its proper divisors (11660781901104).

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

4302283216896 is a wasteful number, since it uses less digits than its factorization.

4302283216896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4302283216896 in words is "four trillion, three hundred two billion, two hundred eighty-three million, two hundred sixteen thousand, eight hundred ninety-six".