4466446644 has 144 divisors (see below), whose sum is σ = 11964008448. Its totient is φ = 1284720000.

The previous prime is 4466446609. The next prime is 4466446727.

4466446644 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4466446593 and 4466446602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41742439 + ... + 41742545.

It is an arithmetic number, because the mean of its divisors is an integer number (83083392).

Almost surely, 2^4466446644 is an apocalyptic number.

4466446644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4466446644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982004224).

4466446644 is an abundant number, since it is smaller than the sum of its proper divisors (7497561804).

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

4466446644 is a wasteful number, since it uses less digits than its factorization.

4466446644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 255 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The square root of 4466446644 is about 66831.4794389590. The cubic root of 4466446644 is about 1646.8500225999.

The spelling of 4466446644 in words is "four billion, four hundred sixty-six million, four hundred forty-six thousand, six hundred forty-four".