1384309905489 has 81 divisors (see below), whose sum is σ = 2346581418363. Its totient is φ = 784101898944.

The previous prime is 1384309905467. The next prime is 1384309905527. The reversal of 1384309905489 is 9845099034831.

The square root of 1384309905489 is 1176567.

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

1384309905489 is a `hidden beast` number, since 1 + 3 + 84 + 3 + 0 + 9 + 9 + 0 + 548 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8831300625 + 1375478604864 = 93975^2 + 1172808^2 .

It is not a de Polignac number, because 1384309905489 - 2¹⁷ = 1384309774417 is a prime.

It is a super-2 number, since 2×1384309905489² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1384309905449) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4422715197 + ... + 4422715509.

Almost surely, 2^{1384309905489} is an apocalyptic number.

1384309905489 is the 1176567-th square number.

1384309905489 is the 588284-th centered octagonal number.

It is an amenable number.

1384309905489 is a deficient number, since it is larger than the sum of its proper divisors (962271512874).

1384309905489 is an frugal number, since it uses more digits than its factorization.

1384309905489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1384309905489 in words is "one trillion, three hundred eighty-four billion, three hundred nine million, nine hundred five thousand, four hundred eighty-nine".