1234666221984 has 480 divisors, whose sum is σ = 4133983392000. Its totient is φ = 358352418816.

The previous prime is 1234666221937. The next prime is 1234666222007. The reversal of 1234666221984 is 4891226664321.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1234666221984.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153009502 + ... + 153017570.

It is an arithmetic number, because the mean of its divisors is an integer number (8612465400).

Almost surely, 2^{1234666221984} 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 1234666221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066991696000).

1234666221984 is an abundant number, since it is smaller than the sum of its proper divisors (2899317170016).

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

1234666221984 is a wasteful number, since it uses less digits than its factorization.

1234666221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8345 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 1234666221984 in words is "one trillion, two hundred thirty-four billion, six hundred sixty-six million, two hundred twenty-one thousand, nine hundred eighty-four".