44246077064244 has 384 divisors, whose sum is σ = 130497540096000. Its totient is φ = 12843015782400.

The previous prime is 44246077064237. The next prime is 44246077064269.

44246077064244 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 607 + 7 + 0 + 6 + 4 + 24 + 4 = 666.

44246077064244 is nontrivially palindromic in base 10.

44246077064244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4267144692 + ... + 4267155060.

It is an arithmetic number, because the mean of its divisors is an integer number (339837344000).

Almost surely, 2^{44246077064244} is an apocalyptic number.

44246077064244 is a gapful number since it is divisible by the number (44) 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 44246077064244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65248770048000).

44246077064244 is an abundant number, since it is smaller than the sum of its proper divisors (86251463031756).

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

44246077064244 is a wasteful number, since it uses less digits than its factorization.

44246077064244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11596 (or 11588 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 54.

The spelling of 44246077064244 in words is "forty-four trillion, two hundred forty-six billion, seventy-seven million, sixty-four thousand, two hundred forty-four".