288485042688864 has 144 divisors (see below), whose sum is σ = 937666117428768. Its totient is φ = 82416409675776.

The previous prime is 288485042688863. The next prime is 288485042688889. The reversal of 288485042688864 is 468886240584882.

288485042688864 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 8 + 50 + 426 + 8 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×288485042688864² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288485042688863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14239114 + ... + 27923510.

It is an arithmetic number, because the mean of its divisors is an integer number (6511570259922).

Almost surely, 2^{288485042688864} is an apocalyptic number.

288485042688864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

288485042688864 is an abundant number, since it is smaller than the sum of its proper divisors (649181074739904).

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

288485042688864 is a wasteful number, since it uses less digits than its factorization.

288485042688864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13694877 (or 13694866 counting only the distinct ones).

The product of its (nonzero) digits is 12079595520, while the sum is 81.

The spelling of 288485042688864 in words is "two hundred eighty-eight trillion, four hundred eighty-five billion, forty-two million, six hundred eighty-eight thousand, eight hundred sixty-four".