284245209888768 has 576 divisors, whose sum is σ = 873717716944800. Its totient is φ = 88770305064960.

The previous prime is 284245209888713. The next prime is 284245209888811. The reversal of 284245209888768 is 867888902542482.

284245209888768 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 4 + 520 + 9 + 8 + 8 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×284245209888768² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67023155128 + ... + 67023159368.

Almost surely, 2^{284245209888768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284245209888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436858858472400).

284245209888768 is an abundant number, since it is smaller than the sum of its proper divisors (589472507056032).

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

284245209888768 is a wasteful number, since it uses less digits than its factorization.

284245209888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 7927234560, while the sum is 81.

The spelling of 284245209888768 in words is "two hundred eighty-four trillion, two hundred forty-five billion, two hundred nine million, eight hundred eighty-eight thousand, seven hundred sixty-eight".