288630611241 has 16 divisors (see below), whose sum is σ = 442248014208. Its totient is φ = 164020550400.

The previous prime is 288630611209. The next prime is 288630611251. The reversal of 288630611241 is 142116036882.

It is a happy number.

288630611241 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 288630611241 - 2⁵ = 288630611209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 288630611193 and 288630611202.

It is not an unprimeable number, because it can be changed into a prime (288630611251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37963920 + ... + 37971521.

It is an arithmetic number, because the mean of its divisors is an integer number (27640500888).

Almost surely, 2^288630611241 is an apocalyptic number.

288630611241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

288630611241 is a deficient number, since it is larger than the sum of its proper divisors (153617402967).

288630611241 is a wasteful number, since it uses less digits than its factorization.

288630611241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75935632.

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 288630611241 in words is "two hundred eighty-eight billion, six hundred thirty million, six hundred eleven thousand, two hundred forty-one".