284086303968 has 192 divisors, whose sum is σ = 760828723200. Its totient is φ = 92803223040.

The previous prime is 284086303961. The next prime is 284086303973. The reversal of 284086303968 is 869303680482.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284086303961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678010063 + ... + 678010481.

It is an arithmetic number, because the mean of its divisors is an integer number (3962649600).

Almost surely, 2^284086303968 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 284086303968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380414361600).

284086303968 is an abundant number, since it is smaller than the sum of its proper divisors (476742419232).

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

284086303968 is a wasteful number, since it uses less digits than its factorization.

284086303968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 284086303968 in words is "two hundred eighty-four billion, eighty-six million, three hundred three thousand, nine hundred sixty-eight".