284414294472 has 256 divisors, whose sum is σ = 939860858880. Its totient is φ = 69437337600.

The previous prime is 284414294459. The next prime is 284414294531. The reversal of 284414294472 is 274492414482.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25787023 + ... + 25798049.

It is an arithmetic number, because the mean of its divisors is an integer number (3671331480).

Almost surely, 2^284414294472 is an apocalyptic number.

284414294472 is a gapful number since it is divisible by the number (22) 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 284414294472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469930429440).

284414294472 is an abundant number, since it is smaller than the sum of its proper divisors (655446564408).

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

284414294472 is a wasteful number, since it uses less digits than its factorization.

284414294472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11892 (or 11888 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 51.

The spelling of 284414294472 in words is "two hundred eighty-four billion, four hundred fourteen million, two hundred ninety-four thousand, four hundred seventy-two".