1385561683072 has 512 divisors, whose sum is σ = 3575381160960. Its totient is φ = 521286451200.

The previous prime is 1385561683049. The next prime is 1385561683073. The reversal of 1385561683072 is 2703861655831.

It is not an unprimeable number, because it can be changed into a prime (1385561683073) 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 63 ways as a sum of consecutive naturals, for example, 1409523093 + ... + 1409524075.

It is an arithmetic number, because the mean of its divisors is an integer number (6983166330).

Almost surely, 2^{1385561683072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385561683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787690580480).

1385561683072 is an abundant number, since it is smaller than the sum of its proper divisors (2189819477888).

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

1385561683072 is a wasteful number, since it uses less digits than its factorization.

1385561683072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 1385561683072 in words is "one trillion, three hundred eighty-five billion, five hundred sixty-one million, six hundred eighty-three thousand, seventy-two".