1368415012608 has 864 divisors, whose sum is σ = 4965365905920. Its totient is φ = 369916968960.

The previous prime is 1368415012603. The next prime is 1368415012621. The reversal of 1368415012608 is 8062105148631.

1368415012608 is a `hidden beast` number, since 1 + 3 + 6 + 84 + 1 + 501 + 2 + 60 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368415012603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 755612023 + ... + 755613833.

It is an arithmetic number, because the mean of its divisors is an integer number (5746951280).

Almost surely, 2^{1368415012608} is an apocalyptic number.

1368415012608 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 1368415012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482682952960).

1368415012608 is an abundant number, since it is smaller than the sum of its proper divisors (3596950893312).

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

1368415012608 is a wasteful number, since it uses less digits than its factorization.

1368415012608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1368415012608 in words is "one trillion, three hundred sixty-eight billion, four hundred fifteen million, twelve thousand, six hundred eight".