1331080209648 has 240 divisors, whose sum is σ = 4416402332160. Its totient is φ = 380189852928.

The previous prime is 1331080209629. The next prime is 1331080209653. The reversal of 1331080209648 is 8469020801331.

1331080209648 is a `hidden beast` number, since 13 + 310 + 80 + 209 + 6 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124290118 + ... + 124300826.

It is an arithmetic number, because the mean of its divisors is an integer number (18401676384).

Almost surely, 2^{1331080209648} is an apocalyptic number.

1331080209648 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 1331080209648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208201166080).

1331080209648 is an abundant number, since it is smaller than the sum of its proper divisors (3085322122512).

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

1331080209648 is a wasteful number, since it uses less digits than its factorization.

1331080209648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15306 (or 15288 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1331080209648 in words is "one trillion, three hundred thirty-one billion, eighty million, two hundred nine thousand, six hundred forty-eight".