288770248246940 has 48 divisors (see below), whose sum is σ = 641121718893600. Its totient is φ = 108950870921472.

The previous prime is 288770248246913. The next prime is 288770248246957. The reversal of 288770248246940 is 49642842077882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1659130679 + ... + 1659304718.

It is an arithmetic number, because the mean of its divisors is an integer number (13356702476950).

Almost surely, 2^{288770248246940} is an apocalyptic number.

288770248246940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288770248246940 is an abundant number, since it is smaller than the sum of its proper divisors (352351470646660).

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

288770248246940 is a wasteful number, since it uses less digits than its factorization.

288770248246940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318435654 (or 3318435652 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 71.

The spelling of 288770248246940 in words is "two hundred eighty-eight trillion, seven hundred seventy billion, two hundred forty-eight million, two hundred forty-six thousand, nine hundred forty".