384099978564 has 189 divisors, whose sum is σ = 1055639479503. Its totient is φ = 122221235664.

The previous prime is 384099978557. The next prime is 384099978569. The reversal of 384099978564 is 465879990483.

The square root of 384099978564 is 619758.

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

384099978564 is a `hidden beast` number, since 3 + 8 + 409 + 99 + 78 + 5 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 384099978492 and 384099978501.

It is not an unprimeable number, because it can be changed into a prime (384099978569) 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 62 ways as a sum of consecutive naturals, for example, 769739187 + ... + 769739685.

Almost surely, 2^384099978564 is an apocalyptic number.

384099978564 is the 619758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384099978564

384099978564 is an abundant number, since it is smaller than the sum of its proper divisors (671539500939).

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

384099978564 is an frugal number, since it uses more digits than its factorization.

384099978564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 527 counting only the distinct ones).

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

The spelling of 384099978564 in words is "three hundred eighty-four billion, ninety-nine million, nine hundred seventy-eight thousand, five hundred sixty-four".