284365226855052 has 384 divisors, whose sum is σ = 902119060684800. Its totient is φ = 75657584217600.

The previous prime is 284365226854991. The next prime is 284365226855053. The reversal of 284365226855052 is 250558622563482.

284365226855052 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 6 + 5 + 2 + 26 + 8 + 550 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (284365226855053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 337147168 + ... + 337989560.

It is an arithmetic number, because the mean of its divisors is an integer number (2349268387200).

Almost surely, 2^{284365226855052} 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 284365226855052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451059530342400).

284365226855052 is an abundant number, since it is smaller than the sum of its proper divisors (617753833829748).

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

284365226855052 is a wasteful number, since it uses less digits than its factorization.

284365226855052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842834 (or 842826 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 63.

The spelling of 284365226855052 in words is "two hundred eighty-four trillion, three hundred sixty-five billion, two hundred twenty-six million, eight hundred fifty-five thousand, fifty-two".