44006663656224 has 480 divisors, whose sum is σ = 133408285186176. Its totient is φ = 14224240742400.

The previous prime is 44006663656223. The next prime is 44006663656243. The reversal of 44006663656224 is 42265636660044.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (44006663656223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6717545749 + ... + 6717552299.

Almost surely, 2^{44006663656224} 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 44006663656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66704142593088).

44006663656224 is an abundant number, since it is smaller than the sum of its proper divisors (89401621529952).

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

44006663656224 is a wasteful number, since it uses less digits than its factorization.

44006663656224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 44006663656224 in words is "forty-four trillion, six billion, six hundred sixty-three million, six hundred fifty-six thousand, two hundred twenty-four".