1385389984608 has 432 divisors, whose sum is σ = 4613865381216. Its totient is φ = 394314117120.

The previous prime is 1385389984577. The next prime is 1385389984613. The reversal of 1385389984608 is 8064899835831.

1385389984608 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 3 + 8 + 9 + 9 + 8 + 4 + 608 = 666.

It is a super-4 number, since 4×1385389984608⁴ (a number of 50 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095899798 + ... + 2095900458.

It is an arithmetic number, because the mean of its divisors is an integer number (10680243938).

Almost surely, 2^{1385389984608} is an apocalyptic number.

1385389984608 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 1385389984608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306932690608).

1385389984608 is an abundant number, since it is smaller than the sum of its proper divisors (3228475396608).

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

1385389984608 is an frugal number, since it uses more digits than its factorization.

1385389984608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 1385389984608 in words is "one trillion, three hundred eighty-five billion, three hundred eighty-nine million, nine hundred eighty-four thousand, six hundred eight".