288690320646 has 128 divisors (see below), whose sum is σ = 804478832640. Its totient is φ = 74701471104.

The previous prime is 288690320603. The next prime is 288690320689. The reversal of 288690320646 is 646023096882.

It is an interprime number because it is at equal distance from previous prime (288690320603) and next prime (288690320689).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 288690320592 and 288690320601.

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 63 ways as a sum of consecutive naturals, for example, 293790 + ... + 814673.

It is an arithmetic number, because the mean of its divisors is an integer number (6284990880).

Almost surely, 2^288690320646 is an apocalyptic number.

288690320646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

288690320646 is an abundant number, since it is smaller than the sum of its proper divisors (515788511994).

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

288690320646 is a wasteful number, since it uses less digits than its factorization.

288690320646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108547 (or 1108541 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 288690320646 in words is "two hundred eighty-eight billion, six hundred ninety million, three hundred twenty thousand, six hundred forty-six".