4454603346816 has 576 divisors, whose sum is σ = 15054483225600. Its totient is φ = 1260587059200.

The previous prime is 4454603346799. The next prime is 4454603346841. The reversal of 4454603346816 is 6186433064544.

It is a happy number.

4454603346816 is a `hidden beast` number, since 4 + 4 + 546 + 0 + 3 + 34 + 68 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4287394425 + ... + 4287395463.

It is an arithmetic number, because the mean of its divisors is an integer number (26136255600).

Almost surely, 2^{4454603346816} 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 4454603346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527241612800).

4454603346816 is an abundant number, since it is smaller than the sum of its proper divisors (10599879878784).

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

4454603346816 is a wasteful number, since it uses less digits than its factorization.

4454603346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 4454603346816 in words is "four trillion, four hundred fifty-four billion, six hundred three million, three hundred forty-six thousand, eight hundred sixteen".