284974018560 has 2080 divisors, whose sum is σ = 1342709609472. Its totient is φ = 56056872960.

The previous prime is 284974018513. The next prime is 284974018561. The reversal of 284974018560 is 65810479482.

It is a happy number.

284974018560 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 74 + 0 + 1 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 284974018497 and 284974018506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284974018561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2937876432 + ... + 2937876528.

Almost surely, 2^284974018560 is an apocalyptic number.

284974018560 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 284974018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671354804736).

284974018560 is an abundant number, since it is smaller than the sum of its proper divisors (1057735590912).

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

284974018560 is a wasteful number, since it uses less digits than its factorization.

284974018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 284974018560 in words is "two hundred eighty-four billion, nine hundred seventy-four million, eighteen thousand, five hundred sixty".