1321989648336 has 400 divisors, whose sum is σ = 4689854294400. Its totient is φ = 351077815296.

The previous prime is 1321989648307. The next prime is 1321989648359. The reversal of 1321989648336 is 6338469891231.

1321989648336 is a `hidden beast` number, since 1 + 3 + 219 + 89 + 6 + 4 + 8 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

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, 9063150 + ... + 9207858.

It is an arithmetic number, because the mean of its divisors is an integer number (11724635736).

Almost surely, 2^{1321989648336} is an apocalyptic number.

1321989648336 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 1321989648336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344927147200).

1321989648336 is an abundant number, since it is smaller than the sum of its proper divisors (3367864646064).

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

1321989648336 is a wasteful number, since it uses less digits than its factorization.

1321989648336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144808 (or 144793 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 1321989648336 in words is "one trillion, three hundred twenty-one billion, nine hundred eighty-nine million, six hundred forty-eight thousand, three hundred thirty-six".