1468168656640 has 144 divisors (see below), whose sum is σ = 4230644382720. Its totient is φ = 476878786560.

The previous prime is 1468168656611. The next prime is 1468168656641. The reversal of 1468168656640 is 466568618641.

It is a happy number.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468168656641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4141816 + ... + 4482295.

It is an arithmetic number, because the mean of its divisors is an integer number (29379474880).

Almost surely, 2^{1468168656640} is an apocalyptic number.

1468168656640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468168656640 is an abundant number, since it is smaller than the sum of its proper divisors (2762475726080).

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

1468168656640 is an equidigital number, since it uses as much as digits as its factorization.

1468168656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624158 (or 8624144 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 1468168656640 in words is "one trillion, four hundred sixty-eight billion, one hundred sixty-eight million, six hundred fifty-six thousand, six hundred forty".