1348795768320 has 1920 divisors, whose sum is σ = 6323913243648. Its totient is φ = 256573440000.

The previous prime is 1348795768267. The next prime is 1348795768351. The reversal of 1348795768320 is 238675978431.

1348795768320 is a `hidden beast` number, since 1 + 3 + 487 + 9 + 5 + 76 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5373688195 + ... + 5373688445.

It is a 1-persistent number, because it is pandigital, but 2⋅1348795768320 = 2697591536640 is not.

Almost surely, 2^{1348795768320} is an apocalyptic number.

1348795768320 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 1348795768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161956621824).

1348795768320 is an abundant number, since it is smaller than the sum of its proper divisors (4975117475328).

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

1348795768320 is a wasteful number, since it uses less digits than its factorization.

1348795768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1348795768320 in words is "one trillion, three hundred forty-eight billion, seven hundred ninety-five million, seven hundred sixty-eight thousand, three hundred twenty".