44332482816 has 288 divisors, whose sum is σ = 137685475200. Its totient is φ = 14050713600.

The previous prime is 44332482791. The next prime is 44332482847. The reversal of 44332482816 is 61828423344.

It is a happy number.

44332482816 is a `hidden beast` number, since 4 + 43 + 324 + 8 + 281 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13428366 + ... + 13431666.

Almost surely, 2^44332482816 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 44332482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68842737600).

44332482816 is an abundant number, since it is smaller than the sum of its proper divisors (93352992384).

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

44332482816 is a wasteful number, since it uses less digits than its factorization.

44332482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3402 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 44332482816 in words is "forty-four billion, three hundred thirty-two million, four hundred eighty-two thousand, eight hundred sixteen".