84471122117448 has 256 divisors, whose sum is σ = 258029593632000. Its totient is φ = 25391932876800.

The previous prime is 84471122117419. The next prime is 84471122117453.

It is a happy number.

84471122117448 is a `hidden beast` number, since 8 + 4 + 4 + 71 + 12 + 2 + 117 + 448 = 666.

84471122117448 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 84471122117394 and 84471122117403.

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 63 ways as a sum of consecutive naturals, for example, 449438118 + ... + 449626026.

It is an arithmetic number, because the mean of its divisors is an integer number (1007928100125).

Almost surely, 2^{84471122117448} is an apocalyptic number.

84471122117448 is a gapful number since it is divisible by the number (88) 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 84471122117448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129014796816000).

84471122117448 is an abundant number, since it is smaller than the sum of its proper divisors (173558471514552).

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

84471122117448 is a wasteful number, since it uses less digits than its factorization.

84471122117448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189453 (or 189443 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The spelling of 84471122117448 in words is "eighty-four trillion, four hundred seventy-one billion, one hundred twenty-two million, one hundred seventeen thousand, four hundred forty-eight".