84431211213448 has 128 divisors (see below), whose sum is σ = 176876397325440. Its totient is φ = 37460408832000.

The previous prime is 84431211213413. The next prime is 84431211213499.

84431211213448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84431211213398 and 84431211213407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2838867858 + ... + 2838897598.

It is an arithmetic number, because the mean of its divisors is an integer number (1381846854105).

Almost surely, 2^{84431211213448} is an apocalyptic number.

84431211213448 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 84431211213448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88438198662720).

84431211213448 is an abundant number, since it is smaller than the sum of its proper divisors (92445186111992).

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

84431211213448 is a wasteful number, since it uses less digits than its factorization.

84431211213448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34199 (or 34195 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

It can be divided in two parts, 8443121 and 1213448, that added together give a palindrome (9656569).

The spelling of 84431211213448 in words is "eighty-four trillion, four hundred thirty-one billion, two hundred eleven million, two hundred thirteen thousand, four hundred forty-eight".