384259892769 has 27 divisors (see below), whose sum is σ = 559790953137. Its totient is φ = 253999938024.

The previous prime is 384259892747. The next prime is 384259892851. The reversal of 384259892769 is 967298952483.

The square root of 384259892769 is 619887.

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

384259892769 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 598 + 9 + 27 + 6 + 9 = 666.

It is not a de Polignac number, because 384259892769 - 2⁷ = 384259892641 is a prime.

It is a super-2 number, since 2×384259892769² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384259892697 and 384259892706.

It is not an unprimeable number, because it can be changed into a prime (384259892719) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 236176134 + ... + 236177760.

Almost surely, 2^384259892769 is an apocalyptic number.

384259892769 is the 619887-th square number.

384259892769 is the 309944-th centered octagonal number.

It is an amenable number.

384259892769 is a deficient number, since it is larger than the sum of its proper divisors (175531060368).

384259892769 is an frugal number, since it uses more digits than its factorization.

384259892769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 1757 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 384259892769 in words is "three hundred eighty-four billion, two hundred fifty-nine million, eight hundred ninety-two thousand, seven hundred sixty-nine".