44891350416 has 320 divisors, whose sum is σ = 143319041280. Its totient is φ = 13451328000.

The previous prime is 44891350391. The next prime is 44891350451. The reversal of 44891350416 is 61405319844.

44891350416 is a `hidden beast` number, since 4 + 48 + 91 + 3 + 504 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58073806 + ... + 58074578.

It is an arithmetic number, because the mean of its divisors is an integer number (447872004).

Almost surely, 2^44891350416 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 44891350416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71659520640).

44891350416 is an abundant number, since it is smaller than the sum of its proper divisors (98427690864).

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

44891350416 is a wasteful number, since it uses less digits than its factorization.

44891350416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 44891350416 in words is "forty-four billion, eight hundred ninety-one million, three hundred fifty thousand, four hundred sixteen".