4445416746576 has 240 divisors, whose sum is σ = 13832117366400. Its totient is φ = 1366327332864.

The previous prime is 4445416746499. The next prime is 4445416746587. The reversal of 4445416746576 is 6756476145444.

4445416746576 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 4 + 16 + 7 + 46 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67791661 + ... + 67857203.

It is an arithmetic number, because the mean of its divisors is an integer number (57633822360).

Almost surely, 2^{4445416746576} 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 4445416746576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916058683200).

4445416746576 is an abundant number, since it is smaller than the sum of its proper divisors (9386700619824).

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

4445416746576 is a wasteful number, since it uses less digits than its factorization.

4445416746576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66515 (or 66490 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 63.

The spelling of 4445416746576 in words is "four trillion, four hundred forty-five billion, four hundred sixteen million, seven hundred forty-six thousand, five hundred seventy-six".