1368074480256 has 384 divisors, whose sum is σ = 4377414113280. Its totient is φ = 406619136000.

The previous prime is 1368074480251. The next prime is 1368074480281. The reversal of 1368074480256 is 6520844708631.

It is a happy number.

1368074480256 is a `hidden beast` number, since 1 + 36 + 80 + 7 + 4 + 480 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1368074480251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296053626 + ... + 296058246.

It is an arithmetic number, because the mean of its divisors is an integer number (11399515920).

Almost surely, 2^{1368074480256} is an apocalyptic number.

1368074480256 is a gapful number since it is divisible by the number (16) 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 1368074480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188707056640).

1368074480256 is an abundant number, since it is smaller than the sum of its proper divisors (3009339633024).

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

1368074480256 is a wasteful number, since it uses less digits than its factorization.

1368074480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1368074480256 in words is "one trillion, three hundred sixty-eight billion, seventy-four million, four hundred eighty thousand, two hundred fifty-six".