44354131433856 has 192 divisors, whose sum is σ = 132042801805200. Its totient is φ = 14274027048960.

The previous prime is 44354131433797. The next prime is 44354131433867. The reversal of 44354131433856 is 65833413145344.

44354131433856 is a `hidden beast` number, since 4 + 4 + 3 + 5 + 413 + 143 + 3 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772731750 + ... + 772789146.

Almost surely, 2^{44354131433856} 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 44354131433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66021400902600).

44354131433856 is an abundant number, since it is smaller than the sum of its proper divisors (87688670371344).

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

44354131433856 is a wasteful number, since it uses less digits than its factorization.

44354131433856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80577 (or 80562 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 44354131433856 in words is "forty-four trillion, three hundred fifty-four billion, one hundred thirty-one million, four hundred thirty-three thousand, eight hundred fifty-six".