1356208896000 has 768 divisors, whose sum is σ = 5335424640000. Its totient is φ = 299266867200.

The previous prime is 1356208895999. The next prime is 1356208896013. The reversal of 1356208896000 is 6988026531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 155899651 + ... + 155908349.

It is an arithmetic number, because the mean of its divisors is an integer number (6947167500).

Almost surely, 2^{1356208896000} is an apocalyptic number.

1356208896000 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 1356208896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667712320000).

1356208896000 is an abundant number, since it is smaller than the sum of its proper divisors (3979215744000).

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

1356208896000 is an equidigital number, since it uses as much as digits as its factorization.

1356208896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 1356208896000 in words is "one trillion, three hundred fifty-six billion, two hundred eight million, eight hundred ninety-six thousand".