1385384988672 has 208 divisors, whose sum is σ = 4106962157760. Its totient is φ = 461500416000.

The previous prime is 1385384988671. The next prime is 1385384988683. The reversal of 1385384988672 is 2768894835831.

1385384988672 is a `hidden beast` number, since 1 + 3 + 8 + 53 + 8 + 498 + 86 + 7 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1385384988672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385384988671) 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 15 ways as a sum of consecutive naturals, for example, 236774547 + ... + 236780397.

Almost surely, 2^{1385384988672} is an apocalyptic number.

1385384988672 is a gapful number since it is divisible by the number (12) 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 1385384988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053481078880).

1385384988672 is an abundant number, since it is smaller than the sum of its proper divisors (2721577169088).

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

1385384988672 is an equidigital number, since it uses as much as digits as its factorization.

1385384988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 7997 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 1385384988672 in words is "one trillion, three hundred eighty-five billion, three hundred eighty-four million, nine hundred eighty-eight thousand, six hundred seventy-two".