1348669612800 has 1728 divisors, whose sum is σ = 5480124249600. Its totient is φ = 323282534400.

The previous prime is 1348669612799. The next prime is 1348669612831. The reversal of 1348669612800 is 82169668431.

1348669612800 is a `hidden beast` number, since 13 + 4 + 8 + 6 + 6 + 9 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5788281484 + ... + 5788281716.

It is an arithmetic number, because the mean of its divisors is an integer number (3171368200).

Almost surely, 2^{1348669612800} is an apocalyptic number.

1348669612800 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 1348669612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740062124800).

1348669612800 is an abundant number, since it is smaller than the sum of its proper divisors (4131454636800).

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

1348669612800 is a wasteful number, since it uses less digits than its factorization.

1348669612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1348669612800 in words is "one trillion, three hundred forty-eight billion, six hundred sixty-nine million, six hundred twelve thousand, eight hundred".