1348482643200 has 864 divisors, whose sum is σ = 6164942085120. Its totient is φ = 280201420800.

The previous prime is 1348482643177. The next prime is 1348482643219. The reversal of 1348482643200 is 23462848431.

It is a happy number.

1348482643200 is a `hidden beast` number, since 1 + 3 + 484 + 82 + 64 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13254927 + ... + 13356273.

Almost surely, 2^{1348482643200} is an apocalyptic number.

1348482643200 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 1348482643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082471042560).

1348482643200 is an abundant number, since it is smaller than the sum of its proper divisors (4816459441920).

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

1348482643200 is a wasteful number, since it uses less digits than its factorization.

1348482643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101400 (or 101375 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 1348482643200 in words is "one trillion, three hundred forty-eight billion, four hundred eighty-two million, six hundred forty-three thousand, two hundred".