284681971484064 has 3456 divisors, whose sum is σ = 1199877090048000. Its totient is φ = 65906788147200.

The previous prime is 284681971484051. The next prime is 284681971484087. The reversal of 284681971484064 is 460484179186482.

It is a happy number.

284681971484064 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 8 + 19 + 71 + 484 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 284681971483983 and 284681971484001.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 104240925579 + ... + 104240928309.

It is an arithmetic number, because the mean of its divisors is an integer number (347186658000).

Almost surely, 2^{284681971484064} is an apocalyptic number.

284681971484064 is a gapful number since it is divisible by the number (24) 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 284681971484064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599938545024000).

284681971484064 is an abundant number, since it is smaller than the sum of its proper divisors (915195118563936).

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

284681971484064 is a wasteful number, since it uses less digits than its factorization.

284681971484064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 284681971484064 in words is "two hundred eighty-four trillion, six hundred eighty-one billion, nine hundred seventy-one million, four hundred eighty-four thousand, sixty-four".