1398583328688 has 1600 divisors, whose sum is σ = 5415075635200. Its totient is φ = 345664972800.

The previous prime is 1398583328671. The next prime is 1398583328689. The reversal of 1398583328688 is 8868233858931.

1398583328688 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 583 + 32 + 8 + 6 + 8 + 8 = 666.

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 (1398583328689) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6628356903 + ... + 6628357113.

It is an arithmetic number, because the mean of its divisors is an integer number (3384422272).

Almost surely, 2^{1398583328688} is an apocalyptic number.

1398583328688 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 1398583328688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707537817600).

1398583328688 is an abundant number, since it is smaller than the sum of its proper divisors (4016492306512).

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

1398583328688 is a wasteful number, since it uses less digits than its factorization.

1398583328688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 304 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

It can be divided in two parts, 1398583 and 328688, that added together give a palindrome (1727271).

The spelling of 1398583328688 in words is "one trillion, three hundred ninety-eight billion, five hundred eighty-three million, three hundred twenty-eight thousand, six hundred eighty-eight".