4456268841816 has 192 divisors, whose sum is σ = 13485391920000. Its totient is φ = 1317712273920.

The previous prime is 4456268841797. The next prime is 4456268841841. The reversal of 4456268841816 is 6181488626544.

It is a happy number.

4456268841816 is a `hidden beast` number, since 4 + 4 + 562 + 68 + 8 + 4 + 1 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×4456268841816² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35662375 + ... + 35787113.

It is an arithmetic number, because the mean of its divisors is an integer number (70236416250).

Almost surely, 2^{4456268841816} 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 4456268841816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742695960000).

4456268841816 is an abundant number, since it is smaller than the sum of its proper divisors (9029123078184).

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

4456268841816 is a wasteful number, since it uses less digits than its factorization.

4456268841816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125854 (or 125847 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 4456268841816 in words is "four trillion, four hundred fifty-six billion, two hundred sixty-eight million, eight hundred forty-one thousand, eight hundred sixteen".