1321194814848 has 192 divisors, whose sum is σ = 3819523481280. Its totient is φ = 438358302720.

The previous prime is 1321194814831. The next prime is 1321194814861. The reversal of 1321194814848 is 8484184911231.

It is a happy number.

1321194814848 is a `hidden beast` number, since 1 + 3 + 2 + 119 + 48 + 1 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1321194814794 and 1321194814803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296030665 + ... + 296035127.

It is an arithmetic number, because the mean of its divisors is an integer number (19893351465).

Almost surely, 2^{1321194814848} is an apocalyptic number.

1321194814848 is a gapful number since it is divisible by the number (18) 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 1321194814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909761740640).

1321194814848 is an abundant number, since it is smaller than the sum of its proper divisors (2498328666432).

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

1321194814848 is a wasteful number, since it uses less digits than its factorization.

1321194814848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5602 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 1321194814848 in words is "one trillion, three hundred twenty-one billion, one hundred ninety-four million, eight hundred fourteen thousand, eight hundred forty-eight".