84222694890144 has 288 divisors, whose sum is σ = 243313805826000. Its totient is φ = 27631366963200.

The previous prime is 84222694890143. The next prime is 84222694890151. The reversal of 84222694890144 is 44109849622248.

84222694890144 is a `hidden beast` number, since 8 + 4 + 2 + 2 + 2 + 6 + 9 + 489 + 0 + 144 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46580788800144 + 37641906090000 = 6825012^2 + 6135300^2 .

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

It is not an unprimeable number, because it can be changed into a prime (84222694890143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4983288094 + ... + 4983304994.

Almost surely, 2^{84222694890144} 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 84222694890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121656902913000).

84222694890144 is an abundant number, since it is smaller than the sum of its proper divisors (159091110935856).

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

84222694890144 is a wasteful number, since it uses less digits than its factorization.

84222694890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17888 (or 17877 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 84222694890144 in words is "eighty-four trillion, two hundred twenty-two billion, six hundred ninety-four million, eight hundred ninety thousand, one hundred forty-four".