84002342456448 has 1152 divisors, whose sum is σ = 296368462091520. Its totient is φ = 22638918500352.

The previous prime is 84002342456447. The next prime is 84002342456479. The reversal of 84002342456448 is 84465424320048.

84002342456448 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 2 + 34 + 2 + 4 + 564 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 84002342456394 and 84002342456403.

It is not an unprimeable number, because it can be changed into a prime (84002342456441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3683171061 + ... + 3683193867.

It is an arithmetic number, because the mean of its divisors is an integer number (257264290010).

Almost surely, 2^{84002342456448} 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 84002342456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148184231045760).

84002342456448 is an abundant number, since it is smaller than the sum of its proper divisors (212366119635072).

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

84002342456448 is a wasteful number, since it uses less digits than its factorization.

84002342456448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22934 (or 22902 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 54.

The spelling of 84002342456448 in words is "eighty-four trillion, two billion, three hundred forty-two million, four hundred fifty-six thousand, four hundred forty-eight".