84487304627712 has 1120 divisors, whose sum is σ = 298752428620800. Its totient is φ = 23845396377600.

The previous prime is 84487304627701. The next prime is 84487304627819. The reversal of 84487304627712 is 21772640378448.

84487304627712 is a `hidden beast` number, since 8 + 4 + 48 + 7 + 304 + 6 + 277 + 12 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84487304627712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10625993337 + ... + 10626001287.

It is an arithmetic number, because the mean of its divisors is an integer number (266743239840).

Almost surely, 2^{84487304627712} 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 84487304627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149376214310400).

84487304627712 is an abundant number, since it is smaller than the sum of its proper divisors (214265123993088).

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

84487304627712 is an frugal number, since it uses more digits than its factorization.

84487304627712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 84487304627712 in words is "eighty-four trillion, four hundred eighty-seven billion, three hundred four million, six hundred twenty-seven thousand, seven hundred twelve".