6024884430096 has 135 divisors (see below), whose sum is σ = 19614846463173. Its totient is φ = 1721336641920.

The previous prime is 6024884430073. The next prime is 6024884430113. The reversal of 6024884430096 is 6900344884206.

The square root of 6024884430096 is 2454564.

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

6024884430096 is a `hidden beast` number, since 6 + 0 + 2 + 48 + 84 + 430 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147944852496 + 5876939577600 = 384636^2 + 2424240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206168766 + ... + 206197986.

Almost surely, 2^{6024884430096} is an apocalyptic number.

6024884430096 is the 2454564-th square number.

It is an amenable number.

6024884430096 is an abundant number, since it is smaller than the sum of its proper divisors (13589962033077).

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

6024884430096 is an frugal number, since it uses more digits than its factorization.

6024884430096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58470 (or 29233 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 6024884430096 in words is "six trillion, twenty-four billion, eight hundred eighty-four million, four hundred thirty thousand, ninety-six".