44616346000 has 80 divisors (see below), whose sum is σ = 108950959728. Its totient is φ = 17669760000.

The previous prime is 44616345989. The next prime is 44616346043. The reversal of 44616346000 is 64361644.

It can be written as a sum of positive squares in 8 ways, for example, as 5837056 + 44610508944 = 2416^2 + 211212^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91564 + ... + 312436.

Almost surely, 2^44616346000 is an apocalyptic number.

44616346000 is a gapful number since it is divisible by the number (40) 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 44616346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54475479864).

44616346000 is an abundant number, since it is smaller than the sum of its proper divisors (64334613728).

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

44616346000 is a wasteful number, since it uses less digits than its factorization.

44616346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220997 (or 220981 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 44616346000 in words is "forty-four billion, six hundred sixteen million, three hundred forty-six thousand".