4446053376336 has 720 divisors, whose sum is σ = 15735284877312. Its totient is φ = 1203472857600.

The previous prime is 4446053376329. The next prime is 4446053376389. The reversal of 4446053376336 is 6336733506444.

4446053376336 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 0 + 533 + 76 + 3 + 36 = 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 143 ways as a sum of consecutive naturals, for example, 224051631 + ... + 224071473.

Almost surely, 2^{4446053376336} 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 4446053376336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867642438656).

4446053376336 is an abundant number, since it is smaller than the sum of its proper divisors (11289231500976).

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

4446053376336 is a wasteful number, since it uses less digits than its factorization.

4446053376336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19934 (or 19903 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 54.

The spelling of 4446053376336 in words is "four trillion, four hundred forty-six billion, fifty-three million, three hundred seventy-six thousand, three hundred thirty-six".