1386578481568 has 144 divisors (see below), whose sum is σ = 3186370457928. Its totient is φ = 592220160000.

The previous prime is 1386578481527. The next prime is 1386578481577. The reversal of 1386578481568 is 8651848756831.

It can be written as a sum of positive squares in 4 ways, for example, as 408591980944 + 977986500624 = 639212^2 + 988932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1386578481497 and 1386578481506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018793208 + ... + 1018794568.

Almost surely, 2^{1386578481568} 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 1386578481568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593185228964).

1386578481568 is an abundant number, since it is smaller than the sum of its proper divisors (1799791976360).

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

1386578481568 is a wasteful number, since it uses less digits than its factorization.

1386578481568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3112 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 70.

The spelling of 1386578481568 in words is "one trillion, three hundred eighty-six billion, five hundred seventy-eight million, four hundred eighty-one thousand, five hundred sixty-eight".