284552745600 has 384 divisors, whose sum is σ = 1000264550400. Its totient is φ = 70849658880.

The previous prime is 284552745593. The next prime is 284552745601. The reversal of 284552745600 is 6547255482.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 284552745600.

It is not an unprimeable number, because it can be changed into a prime (284552745601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20719536 + ... + 20733264.

It is an arithmetic number, because the mean of its divisors is an integer number (2604855600).

Almost surely, 2^284552745600 is an apocalyptic number.

284552745600 is a gapful number since it is divisible by the number (20) 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 284552745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500132275200).

284552745600 is an abundant number, since it is smaller than the sum of its proper divisors (715711804800).

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

284552745600 is a wasteful number, since it uses less digits than its factorization.

284552745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13900 (or 13883 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 284552745600 in words is "two hundred eighty-four billion, five hundred fifty-two million, seven hundred forty-five thousand, six hundred".