388848408960 has 256 divisors, whose sum is σ = 1364776646400. Its totient is φ = 93384744960.

The previous prime is 388848408937. The next prime is 388848408967. The reversal of 388848408960 is 69804848883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 388848408891 and 388848408900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388848408967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2173806 + ... + 2345874.

It is an arithmetic number, because the mean of its divisors is an integer number (5331158775).

Almost surely, 2^388848408960 is an apocalyptic number.

388848408960 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 388848408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682388323200).

388848408960 is an abundant number, since it is smaller than the sum of its proper divisors (975928237440).

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

388848408960 is a wasteful number, since it uses less digits than its factorization.

388848408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172209 (or 172197 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 66.

The spelling of 388848408960 in words is "three hundred eighty-eight billion, eight hundred forty-eight million, four hundred eight thousand, nine hundred sixty".