284005996416 has 128 divisors (see below), whose sum is σ = 838418090400. Its totient is φ = 94645407744.

The previous prime is 284005996369. The next prime is 284005996451. The reversal of 284005996416 is 614699500482.

284005996416 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 0 + 599 + 6 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19529500 + ... + 19544036.

Almost surely, 2^284005996416 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 284005996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419209045200).

284005996416 is an abundant number, since it is smaller than the sum of its proper divisors (554412093984).

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

284005996416 is a wasteful number, since it uses less digits than its factorization.

284005996416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20213 (or 20195 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 284005996416 in words is "two hundred eighty-four billion, five million, nine hundred ninety-six thousand, four hundred sixteen".