44906839064064 has 720 divisors, whose sum is σ = 139386763676160. Its totient is φ = 14433276211200.

The previous prime is 44906839064047. The next prime is 44906839064081. The reversal of 44906839064064 is 46046093860944.

44906839064064 is a `hidden beast` number, since 4 + 4 + 90 + 68 + 390 + 6 + 40 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (44906839064047) and next prime (44906839064081).

It is a junction number, because it is equal to n+sod(n) for n = 44906839063992 and 44906839064010.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 45314670609 + ... + 45314671599.

It is an arithmetic number, because the mean of its divisors is an integer number (193592727328).

Almost surely, 2^{44906839064064} 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 44906839064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69693381838080).

44906839064064 is an abundant number, since it is smaller than the sum of its proper divisors (94479924612096).

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

44906839064064 is an frugal number, since it uses more digits than its factorization.

44906839064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 44906839064064 in words is "forty-four trillion, nine hundred six billion, eight hundred thirty-nine million, sixty-four thousand, sixty-four".