38945518455424 has 128 divisors (see below), whose sum is σ = 91735189200000. Its totient is φ = 16114160283648.

The previous prime is 38945518455413. The next prime is 38945518455439. The reversal of 38945518455424 is 42455481554983.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 38945518455424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393582147 + ... + 393681085.

It is an arithmetic number, because the mean of its divisors is an integer number (716681165625).

Almost surely, 2^{38945518455424} 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 38945518455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45867594600000).

38945518455424 is an abundant number, since it is smaller than the sum of its proper divisors (52789670744576).

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

38945518455424 is a wasteful number, since it uses less digits than its factorization.

38945518455424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114138 (or 114126 counting only the distinct ones).

The product of its digits is 552960000, while the sum is 67.

The spelling of 38945518455424 in words is "thirty-eight trillion, nine hundred forty-five billion, five hundred eighteen million, four hundred fifty-five thousand, four hundred twenty-four".