389117288448 has 896 divisors, whose sum is σ = 1409200128000. Its totient is φ = 105865740288.

The previous prime is 389117288431. The next prime is 389117288449. The reversal of 389117288448 is 844882711983.

389117288448 is a `hidden beast` number, since 38 + 9 + 11 + 72 + 88 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (389117288449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1744920465 + ... + 1744920687.

It is an arithmetic number, because the mean of its divisors is an integer number (1572768000).

Almost surely, 2^389117288448 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 389117288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704600064000).

389117288448 is an abundant number, since it is smaller than the sum of its proper divisors (1020082839552).

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

389117288448 is an equidigital number, since it uses as much as digits as its factorization.

389117288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 258 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 389117288448 in words is "three hundred eighty-nine billion, one hundred seventeen million, two hundred eighty-eight thousand, four hundred forty-eight".