44671382449344 has 336 divisors, whose sum is σ = 150296849113600. Its totient is φ = 12745379496960.

The previous prime is 44671382449339. The next prime is 44671382449439. The reversal of 44671382449344 is 44394428317644.

44671382449344 is a `hidden beast` number, since 4 + 4 + 6 + 7 + 138 + 2 + 4 + 493 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8153197197 + ... + 8153202675.

Almost surely, 2^{44671382449344} 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 44671382449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75148424556800).

44671382449344 is an abundant number, since it is smaller than the sum of its proper divisors (105625466664256).

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

44671382449344 is an frugal number, since it uses more digits than its factorization.

44671382449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 6312 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 44671382449344 in words is "forty-four trillion, six hundred seventy-one billion, three hundred eighty-two million, four hundred forty-nine thousand, three hundred forty-four".