1348096168320 has 512 divisors, whose sum is σ = 4743231091200. Its totient is φ = 322964029440.

The previous prime is 1348096168303. The next prime is 1348096168361. The reversal of 1348096168320 is 238616908431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664413066 + ... + 664415094.

It is an arithmetic number, because the mean of its divisors is an integer number (9264123225).

Almost surely, 2^{1348096168320} is an apocalyptic number.

1348096168320 is a gapful number since it is divisible by the number (10) 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 1348096168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371615545600).

1348096168320 is an abundant number, since it is smaller than the sum of its proper divisors (3395134922880).

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

1348096168320 is a wasteful number, since it uses less digits than its factorization.

1348096168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 1348096168320 in words is "one trillion, three hundred forty-eight billion, ninety-six million, one hundred sixty-eight thousand, three hundred twenty".