1284478084512 has 144 divisors (see below), whose sum is σ = 4199552203392. Its totient is φ = 364796075520.

The previous prime is 1284478084507. The next prime is 1284478084541. The reversal of 1284478084512 is 2154808744821.

1284478084512 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 47 + 8 + 0 + 84 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1284478084512² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570939 + ... + 2244282.

It is an arithmetic number, because the mean of its divisors is an integer number (29163556968).

Almost surely, 2^{1284478084512} is an apocalyptic number.

1284478084512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1284478084512 is an abundant number, since it is smaller than the sum of its proper divisors (2915074118880).

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

1284478084512 is a wasteful number, since it uses less digits than its factorization.

1284478084512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3815411 (or 3815400 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 1284478084512 in words is "one trillion, two hundred eighty-four billion, four hundred seventy-eight million, eighty-four thousand, five hundred twelve".