8456361984 has 288 divisors, whose sum is σ = 29148865200. Its totient is φ = 2415329280.

The previous prime is 8456361973. The next prime is 8456361989. The reversal of 8456361984 is 4891636548.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8456361984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8456361989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2707944 + ... + 2711064.

Almost surely, 2^8456361984 is an apocalyptic number.

8456361984 is a gapful number since it is divisible by the number (84) 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 8456361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574432600).

8456361984 is an abundant number, since it is smaller than the sum of its proper divisors (20692503216).

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

8456361984 is a wasteful number, since it uses less digits than its factorization.

8456361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3133 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 8456361984 is about 91958.4796742530. The cubic root of 8456361984 is about 2037.3290997661.

The spelling of 8456361984 in words is "eight billion, four hundred fifty-six million, three hundred sixty-one thousand, nine hundred eighty-four".