1389233184768 has 1344 divisors, whose sum is σ = 5224521399552. Its totient is φ = 348798320640.

The previous prime is 1389233184767. The next prime is 1389233184797. The reversal of 1389233184768 is 8674813329831.

1389233184768 is a `hidden beast` number, since 1 + 38 + 92 + 33 + 18 + 476 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1389233184761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4122353496 + ... + 4122353832.

It is an arithmetic number, because the mean of its divisors is an integer number (3887292708).

Almost surely, 2^{1389233184768} is an apocalyptic number.

1389233184768 is a gapful number since it is divisible by the number (18) 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 1389233184768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612260699776).

1389233184768 is an abundant number, since it is smaller than the sum of its proper divisors (3835288214784).

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

1389233184768 is a wasteful number, since it uses less digits than its factorization.

1389233184768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 1389233184768 in words is "one trillion, three hundred eighty-nine billion, two hundred thirty-three million, one hundred eighty-four thousand, seven hundred sixty-eight".