1385135778672 has 400 divisors, whose sum is σ = 4612397644800. Its totient is φ = 398397450240.

The previous prime is 1385135778661. The next prime is 1385135778709. The reversal of 1385135778672 is 2768775315831.

1385135778672 is a `hidden beast` number, since 1 + 3 + 8 + 51 + 3 + 577 + 8 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×1385135778672² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12923479 + ... + 13030217.

It is an arithmetic number, because the mean of its divisors is an integer number (11530994112).

Almost surely, 2^{1385135778672} is an apocalyptic number.

1385135778672 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 1385135778672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306198822400).

1385135778672 is an abundant number, since it is smaller than the sum of its proper divisors (3227261866128).

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

1385135778672 is a wasteful number, since it uses less digits than its factorization.

1385135778672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106826 (or 106811 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 1385135778672 in words is "one trillion, three hundred eighty-five billion, one hundred thirty-five million, seven hundred seventy-eight thousand, six hundred seventy-two".