8214041581824 has 288 divisors, whose sum is σ = 24654196756224. Its totient is φ = 2408888401920.

The previous prime is 8214041581817. The next prime is 8214041581873. The reversal of 8214041581824 is 4281851404128.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64462944 + ... + 64590240.

It is an arithmetic number, because the mean of its divisors is an integer number (85604849848).

Almost surely, 2^{8214041581824} 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 8214041581824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327098378112).

8214041581824 is an abundant number, since it is smaller than the sum of its proper divisors (16440155174400).

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

8214041581824 is a wasteful number, since it uses less digits than its factorization.

8214041581824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127633 (or 127619 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 48.

The spelling of 8214041581824 in words is "eight trillion, two hundred fourteen billion, forty-one million, five hundred eighty-one thousand, eight hundred twenty-four".