1382863106304 has 81 divisors (see below), whose sum is σ = 3987298003143. Its totient is φ = 460935553536.

The previous prime is 1382863106243. The next prime is 1382863106333. The reversal of 1382863106304 is 4036013682831.

The square root of 1382863106304 is 1175952.

It is a perfect power (a square), and thus also a powerful number.

1382863106304 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 8 + 6 + 3 + 1 + 0 + 630 + 4 = 666.

It is a super-3 number, since 3×1382863106304³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1382863106304.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56433447 + ... + 56457945.

Almost surely, 2^{1382863106304} is an apocalyptic number.

1382863106304 is the 1175952-nd square number.

It is an amenable number.

1382863106304 is an abundant number, since it is smaller than the sum of its proper divisors (2604434896839).

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

1382863106304 is an frugal number, since it uses more digits than its factorization.

1382863106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49020 (or 24504 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1382863106304 in words is "one trillion, three hundred eighty-two billion, eight hundred sixty-three million, one hundred six thousand, three hundred four".