284738499072 has 200 divisors, whose sum is σ = 857680028700. Its totient is φ = 94040580096.

The previous prime is 284738499049. The next prime is 284738499077. The reversal of 284738499072 is 270994837482.

284738499072 is a `hidden beast` number, since 2 + 8 + 4 + 73 + 8 + 499 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 274894684416 + 9843814656 = 524304^2 + 99216^2 .

It is a super-2 number, since 2×284738499072² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (284738499077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4488954 + ... + 4551942.

Almost surely, 2^284738499072 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 284738499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428840014350).

284738499072 is an abundant number, since it is smaller than the sum of its proper divisors (572941529628).

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

284738499072 is an equidigital number, since it uses as much as digits as its factorization.

284738499072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63128 (or 63103 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 284738499072 in words is "two hundred eighty-four billion, seven hundred thirty-eight million, four hundred ninety-nine thousand, seventy-two".