1360456612668 has 144 divisors (see below), whose sum is σ = 3535826950656. Its totient is φ = 440814850560.

The previous prime is 1360456612663. The next prime is 1360456612693. The reversal of 1360456612668 is 8662166540631.

1360456612668 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 4 + 566 + 12 + 6 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360456612663) 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, 318531373 + ... + 318535643.

It is an arithmetic number, because the mean of its divisors is an integer number (24554353824).

Almost surely, 2^{1360456612668} is an apocalyptic number.

1360456612668 is a gapful number since it is divisible by the number (18) 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 1360456612668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767913475328).

1360456612668 is an abundant number, since it is smaller than the sum of its proper divisors (2175370337988).

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

1360456612668 is a wasteful number, since it uses less digits than its factorization.

1360456612668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1360456612668 in words is "one trillion, three hundred sixty billion, four hundred fifty-six million, six hundred twelve thousand, six hundred sixty-eight".