1368398223360 has 1536 divisors, whose sum is σ = 5767730841600. Its totient is φ = 301305692160.

The previous prime is 1368398223259. The next prime is 1368398223377. The reversal of 1368398223360 is 633228938631.

It is a happy number.

1368398223360 is a `hidden beast` number, since 13 + 6 + 8 + 398 + 2 + 233 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a junction number, because it is equal to n+sod(n) for n = 1368398223297 and 1368398223306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7909816234 + ... + 7909816406.

It is an arithmetic number, because the mean of its divisors is an integer number (3755033100).

Almost surely, 2^{1368398223360} is an apocalyptic number.

1368398223360 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 1368398223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883865420800).

1368398223360 is an abundant number, since it is smaller than the sum of its proper divisors (4399332618240).

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

1368398223360 is a wasteful number, since it uses less digits than its factorization.

1368398223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 1368398223360 in words is "one trillion, three hundred sixty-eight billion, three hundred ninety-eight million, two hundred twenty-three thousand, three hundred sixty".