44382399723648 has 384 divisors, whose sum is σ = 147472424910720. Its totient is φ = 12549526437888.

The previous prime is 44382399723647. The next prime is 44382399723671. The reversal of 44382399723648 is 84632799328344.

44382399723648 is a `hidden beast` number, since 4 + 4 + 38 + 239 + 97 + 236 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is not an unprimeable number, because it can be changed into a prime (44382399723647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874039636 + ... + 874090412.

It is an arithmetic number, because the mean of its divisors is an integer number (384042773205).

Almost surely, 2^{44382399723648} is an apocalyptic number.

44382399723648 is a gapful number since it is divisible by the number (48) 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 44382399723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73736212455360).

44382399723648 is an abundant number, since it is smaller than the sum of its proper divisors (103090025187072).

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

44382399723648 is a wasteful number, since it uses less digits than its factorization.

44382399723648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51924 (or 51909 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 44382399723648 in words is "forty-four trillion, three hundred eighty-two billion, three hundred ninety-nine million, seven hundred twenty-three thousand, six hundred forty-eight".