4456336206336 has 240 divisors, whose sum is σ = 13872218621184. Its totient is φ = 1267524550656.

The previous prime is 4456336206269. The next prime is 4456336206341. The reversal of 4456336206336 is 6336026336544.

It is a super-3 number, since 3×4456336206336³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16651116 + ... + 16916628.

Almost surely, 2^{4456336206336} 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 4456336206336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936109310592).

4456336206336 is an abundant number, since it is smaller than the sum of its proper divisors (9415882414848).

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

4456336206336 is a wasteful number, since it uses less digits than its factorization.

4456336206336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265771 (or 265748 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 51.

The spelling of 4456336206336 in words is "four trillion, four hundred fifty-six billion, three hundred thirty-six million, two hundred six thousand, three hundred thirty-six".