38446083648 has 588 divisors, whose sum is σ = 135583921872. Its totient is φ = 10777536000.

The previous prime is 38446083647. The next prime is 38446083659. The reversal of 38446083648 is 84638064483.

It is a tau number, because it is divible by the number of its divisors (588).

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

It is a junction number, because it is equal to n+sod(n) for n = 38446083594 and 38446083603.

It is not an unprimeable number, because it can be changed into a prime (38446083647) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 153171523 + ... + 153171773.

Almost surely, 2^38446083648 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 38446083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67791960936).

38446083648 is an abundant number, since it is smaller than the sum of its proper divisors (97137838224).

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

38446083648 is an equidigital number, since it uses as much as digits as its factorization.

38446083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 38446083648 in words is "thirty-eight billion, four hundred forty-six million, eighty-three thousand, six hundred forty-eight".