84211433411248 has 120 divisors (see below), whose sum is σ = 192847719830976. Its totient is φ = 35313221548800.

The previous prime is 84211433411233. The next prime is 84211433411263.

84211433411248 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (84211433411233) and next prime (84211433411263).

It is a junction number, because it is equal to n+sod(n) for n = 84211433411198 and 84211433411207.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51152463 + ... + 52773073.

Almost surely, 2^{84211433411248} is an apocalyptic number.

84211433411248 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 84211433411248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96423859915488).

84211433411248 is an abundant number, since it is smaller than the sum of its proper divisors (108636286419728).

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

84211433411248 is a wasteful number, since it uses less digits than its factorization.

84211433411248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622403 (or 1622384 counting only the distinct ones).

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

The spelling of 84211433411248 in words is "eighty-four trillion, two hundred eleven billion, four hundred thirty-three million, four hundred eleven thousand, two hundred forty-eight".