284011321248648 has 384 divisors, whose sum is σ = 965569817721600. Its totient is φ = 76348851830784.

The previous prime is 284011321248647. The next prime is 284011321248679. The reversal of 284011321248648 is 846842123110482.

284011321248648 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 11 + 321 + 248 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 284011321248594 and 284011321248603.

It is not an unprimeable number, because it can be changed into a prime (284011321248643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744017098 + ... + 744398726.

It is an arithmetic number, because the mean of its divisors is an integer number (2514504733650).

Almost surely, 2^{284011321248648} is an apocalyptic number.

284011321248648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284011321248648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482784908860800).

284011321248648 is an abundant number, since it is smaller than the sum of its proper divisors (681558496472952).

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

284011321248648 is a wasteful number, since it uses less digits than its factorization.

284011321248648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384891 (or 384875 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 284011321248648 in words is "two hundred eighty-four trillion, eleven billion, three hundred twenty-one million, two hundred forty-eight thousand, six hundred forty-eight".