1321351562016 has 144 divisors (see below), whose sum is σ = 3909351333888. Its totient is φ = 422885836800.

The previous prime is 1321351562009. The next prime is 1321351562071. The reversal of 1321351562016 is 6102651531231.

1321351562016 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 5 + 15 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551176 + ... + 1716536.

It is an arithmetic number, because the mean of its divisors is an integer number (27148273152).

Almost surely, 2^{1321351562016} is an apocalyptic number.

1321351562016 is a gapful number since it is divisible by the number (16) 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 1321351562016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954675666944).

1321351562016 is an abundant number, since it is smaller than the sum of its proper divisors (2587999771872).

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

1321351562016 is a wasteful number, since it uses less digits than its factorization.

1321351562016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165535 (or 1165524 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1321351562016 in words is "one trillion, three hundred twenty-one billion, three hundred fifty-one million, five hundred sixty-two thousand, sixteen".