1331357280864 has 192 divisors, whose sum is σ = 3985903240704. Its totient is φ = 385988714496.

The previous prime is 1331357280863. The next prime is 1331357280871. The reversal of 1331357280864 is 4680827531331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331357280863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577032 + ... + 2269304.

It is an arithmetic number, because the mean of its divisors is an integer number (20759912712).

Almost surely, 2^{1331357280864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331357280864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992951620352).

1331357280864 is an abundant number, since it is smaller than the sum of its proper divisors (2654545959840).

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

1331357280864 is a wasteful number, since it uses less digits than its factorization.

1331357280864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692389 (or 692381 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1331357280864 in words is "one trillion, three hundred thirty-one billion, three hundred fifty-seven million, two hundred eighty thousand, eight hundred sixty-four".