288437740096 has 189 divisors, whose sum is σ = 670183987417. Its totient is φ = 123052103680.

The previous prime is 288437740069. The next prime is 288437740111. The reversal of 288437740096 is 690047734882.

The square root of 288437740096 is 537064.

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

It can be written as a sum of positive squares in only one way, i.e., 224562254400 + 63875485696 = 473880^2 + 252736^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 288437740096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 803447565 + ... + 803447923.

Almost surely, 2^288437740096 is an apocalyptic number.

288437740096 is the 537064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288437740096

288437740096 is an abundant number, since it is smaller than the sum of its proper divisors (381746247321).

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

288437740096 is an equidigital number, since it uses as much as digits as its factorization.

288437740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 288437740096 in words is "two hundred eighty-eight billion, four hundred thirty-seven million, seven hundred forty thousand, ninety-six".