284835690000 has 375 divisors, whose sum is σ = 1031906788033. Its totient is φ = 75828096000.

The previous prime is 284835689927. The next prime is 284835690011. The reversal of 284835690000 is 96538482.

The square root of 284835690000 is 533700.

It is a perfect power (a square), and thus also a powerful number.

284835690000 is a `hidden beast` number, since 2 + 8 + 4 + 83 + 569 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 189339857424 + 95495832576 = 435132^2 + 309024^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-2 number, since 2×284835690000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 480329704 + ... + 480330296.

Almost surely, 2^284835690000 is an apocalyptic number.

284835690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

284835690000 is the 533700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284835690000

284835690000 is an abundant number, since it is smaller than the sum of its proper divisors (747071098033).

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

284835690000 is an frugal number, since it uses more digits than its factorization.

284835690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 284835690000 in words is "two hundred eighty-four billion, eight hundred thirty-five million, six hundred ninety thousand".