288465746401 has 20 divisors (see below), whose sum is σ = 342227300400. Its totient is φ = 243065449032.

The previous prime is 288465746383. The next prime is 288465746417. The reversal of 288465746401 is 104647564882.

It is a de Polignac number, because none of the positive numbers 2^k-288465746401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288445746401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 876511 + ... + 1159828.

It is an arithmetic number, because the mean of its divisors is an integer number (17111365020).

Almost surely, 2^288465746401 is an apocalyptic number.

It is an amenable number.

288465746401 is a deficient number, since it is larger than the sum of its proper divisors (53761553999).

288465746401 is an frugal number, since it uses more digits than its factorization.

288465746401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036426 (or 2036405 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 288465746401 in words is "two hundred eighty-eight billion, four hundred sixty-five million, seven hundred forty-six thousand, four hundred one".