444622414730616 has 192 divisors, whose sum is σ = 1311929856900000. Its totient is φ = 135497546247168.

The previous prime is 444622414730573. The next prime is 444622414730621. The reversal of 444622414730616 is 616037414226444.

444622414730616 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 2 + 2 + 4 + 14 + 7 + 3 + 0 + 616 = 666.

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, 76418910 + ... + 82031058.

Almost surely, 2^{444622414730616} 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 444622414730616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655964928450000).

444622414730616 is an abundant number, since it is smaller than the sum of its proper divisors (867307442169384).

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

444622414730616 is a wasteful number, since it uses less digits than its factorization.

444622414730616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614206 (or 5614199 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 444622414730616 in words is "four hundred forty-four trillion, six hundred twenty-two billion, four hundred fourteen million, seven hundred thirty thousand, six hundred sixteen".