84450259075968 has 256 divisors, whose sum is σ = 249734286720000. Its totient is φ = 28094933846016.

The previous prime is 84450259075891. The next prime is 84450259075997. The reversal of 84450259075968 is 86957095205448.

84450259075968 is a `hidden beast` number, since 8 + 4 + 4 + 5 + 0 + 25 + 9 + 0 + 7 + 596 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 84450259075896 and 84450259075905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4996161405 + ... + 4996178307.

It is an arithmetic number, because the mean of its divisors is an integer number (975524557500).

Almost surely, 2^{84450259075968} 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 84450259075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124867143360000).

84450259075968 is an abundant number, since it is smaller than the sum of its proper divisors (165284027644032).

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

84450259075968 is a wasteful number, since it uses less digits than its factorization.

84450259075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19674 (or 19656 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 84450259075968 in words is "eighty-four trillion, four hundred fifty billion, two hundred fifty-nine million, seventy-five thousand, nine hundred sixty-eight".