1321848213504 has 832 divisors, whose sum is σ = 4564825165824. Its totient is φ = 330862952448.

The previous prime is 1321848213479. The next prime is 1321848213527. The reversal of 1321848213504 is 4053128481231.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1779068557 + ... + 1779069299.

Almost surely, 2^{1321848213504} is an apocalyptic number.

1321848213504 is a gapful number since it is divisible by the number (14) 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 1321848213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282412582912).

1321848213504 is an abundant number, since it is smaller than the sum of its proper divisors (3242976952320).

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

1321848213504 is a wasteful number, since it uses less digits than its factorization.

1321848213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 1321848213504 in words is "one trillion, three hundred twenty-one billion, eight hundred forty-eight million, two hundred thirteen thousand, five hundred four".