284917049846016 has 288 divisors, whose sum is σ = 905401051484160. Its totient is φ = 77770889551872.

The previous prime is 284917049845951. The next prime is 284917049846059. The reversal of 284917049846016 is 610648940719482.

It is a super-2 number, since 2×284917049846016² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

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 31 ways as a sum of consecutive naturals, for example, 100362390 + ... + 103162218.

Almost surely, 2^{284917049846016} 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 284917049846016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452700525742080).

284917049846016 is an abundant number, since it is smaller than the sum of its proper divisors (620484001638144).

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

284917049846016 is a wasteful number, since it uses less digits than its factorization.

284917049846016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800701 (or 2800687 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 69.

The spelling of 284917049846016 in words is "two hundred eighty-four trillion, nine hundred seventeen billion, forty-nine million, eight hundred forty-six thousand, sixteen".