288042596416 has 63 divisors (see below), whose sum is σ = 580152998061. Its totient is φ = 141893835264.

The previous prime is 288042596399. The next prime is 288042596417. The reversal of 288042596416 is 614695240882.

The square root of 288042596416 is 536696.

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., 163507009600 + 124535586816 = 404360^2 + 352896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288042596417) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 313430005 + ... + 313430923.

It is an arithmetic number, because the mean of its divisors is an integer number (9208777747).

Almost surely, 2^288042596416 is an apocalyptic number.

288042596416 is the 536696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288042596416

288042596416 is an abundant number, since it is smaller than the sum of its proper divisors (292110401645).

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

288042596416 is an frugal number, since it uses more digits than its factorization.

288042596416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 288042596416 in words is "two hundred eighty-eight billion, forty-two million, five hundred ninety-six thousand, four hundred sixteen".