1389656556288 has 2592 divisors, whose sum is σ = 6046858406400. Its totient is φ = 305466163200.

The previous prime is 1389656556271. The next prime is 1389656556289. The reversal of 1389656556288 is 8826556569831.

1389656556288 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 6 + 56 + 5 + 562 + 8 + 8 = 666.

It is a super-2 number, since 2×1389656556288² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1389656556289) 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 287 ways as a sum of consecutive naturals, for example, 44827630833 + ... + 44827630863.

Almost surely, 2^{1389656556288} is an apocalyptic number.

1389656556288 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 1389656556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023429203200).

1389656556288 is an abundant number, since it is smaller than the sum of its proper divisors (4657201850112).

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

1389656556288 is a wasteful number, since it uses less digits than its factorization.

1389656556288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 86 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 72.

The spelling of 1389656556288 in words is "one trillion, three hundred eighty-nine billion, six hundred fifty-six million, five hundred fifty-six thousand, two hundred eighty-eight".