38448675663360 has 160 divisors (see below), whose sum is σ = 122921833525920. Its totient is φ = 10252461047808.

The previous prime is 38448675663353. The next prime is 38448675663407. The reversal of 38448675663360 is 6336657684483.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 165687574 + ... + 165919466.

It is an arithmetic number, because the mean of its divisors is an integer number (768261459537).

Almost surely, 2^{38448675663360} is an apocalyptic number.

38448675663360 is a gapful number since it is divisible by the number (30) 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 38448675663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61460916762960).

38448675663360 is an abundant number, since it is smaller than the sum of its proper divisors (84473157862560).

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

38448675663360 is a wasteful number, since it uses less digits than its factorization.

38448675663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253508 (or 253492 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 69.

The spelling of 38448675663360 in words is "thirty-eight trillion, four hundred forty-eight billion, six hundred seventy-five million, six hundred sixty-three thousand, three hundred sixty".