1322168133864 has 128 divisors (see below), whose sum is σ = 3429624240000. Its totient is φ = 424255104000.

The previous prime is 1322168133859. The next prime is 1322168133973. The reversal of 1322168133864 is 4683318612231.

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

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, 489871987 + ... + 489874685.

It is an arithmetic number, because the mean of its divisors is an integer number (26793939375).

Almost surely, 2^{1322168133864} 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 1322168133864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714812120000).

1322168133864 is an abundant number, since it is smaller than the sum of its proper divisors (2107456106136).

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

1322168133864 is a wasteful number, since it uses less digits than its factorization.

1322168133864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4575 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 1322168133864 in words is "one trillion, three hundred twenty-two billion, one hundred sixty-eight million, one hundred thirty-three thousand, eight hundred sixty-four".