44634906336384 has 768 divisors, whose sum is σ = 159794373473280. Its totient is φ = 11644935929856.

The previous prime is 44634906336359. The next prime is 44634906336389. The reversal of 44634906336384 is 48363360943644.

44634906336384 is a `hidden beast` number, since 4 + 4 + 6 + 3 + 490 + 6 + 3 + 3 + 63 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (44634906336389) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4208056009 + ... + 4208066615.

It is an arithmetic number, because the mean of its divisors is an integer number (208065590460).

Almost surely, 2^{44634906336384} 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 44634906336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79897186736640).

44634906336384 is an abundant number, since it is smaller than the sum of its proper divisors (115159467136896).

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

44634906336384 is a wasteful number, since it uses less digits than its factorization.

44634906336384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11077 (or 11062 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 63.

The spelling of 44634906336384 in words is "forty-four trillion, six hundred thirty-four billion, nine hundred six million, three hundred thirty-six thousand, three hundred eighty-four".