84282666628248 has 192 divisors, whose sum is σ = 249549613447680. Its totient is φ = 25485587404800.

The previous prime is 84282666628231. The next prime is 84282666628267.

84282666628248 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3757072840 + ... + 3757095272.

It is an arithmetic number, because the mean of its divisors is an integer number (1299737570040).

Almost surely, 2^{84282666628248} is an apocalyptic number.

84282666628248 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 84282666628248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124774806723840).

84282666628248 is an abundant number, since it is smaller than the sum of its proper divisors (165266946819432).

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

84282666628248 is a wasteful number, since it uses less digits than its factorization.

84282666628248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32390 (or 32383 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 72.

The spelling of 84282666628248 in words is "eighty-four trillion, two hundred eighty-two billion, six hundred sixty-six million, six hundred twenty-eight thousand, two hundred forty-eight".