8421862681248 has 192 divisors, whose sum is σ = 23937288842880. Its totient is φ = 2583606067200.

The previous prime is 8421862681171. The next prime is 8421862681277.

8421862681248 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 8421862681191 and 8421862681200.

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, 43162468 + ... + 43357148.

It is an arithmetic number, because the mean of its divisors is an integer number (124673379390).

Almost surely, 2^{8421862681248} 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 8421862681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11968644421440).

8421862681248 is an abundant number, since it is smaller than the sum of its proper divisors (15515426161632).

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

8421862681248 is a wasteful number, since it uses less digits than its factorization.

8421862681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195391 (or 195383 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 60.

The spelling of 8421862681248 in words is "eight trillion, four hundred twenty-one billion, eight hundred sixty-two million, six hundred eighty-one thousand, two hundred forty-eight".