1468341520128 has 1296 divisors, whose sum is σ = 5414769884160. Its totient is φ = 395045683200.

The previous prime is 1468341520117. The next prime is 1468341520207. The reversal of 1468341520128 is 8210251438641.

1468341520128 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 3 + 415 + 201 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3874251843 + ... + 3874252221.

Almost surely, 2^{1468341520128} is an apocalyptic number.

1468341520128 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 1468341520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707384942080).

1468341520128 is an abundant number, since it is smaller than the sum of its proper divisors (3946428364032).

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

1468341520128 is an equidigital number, since it uses as much as digits as its factorization.

1468341520128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

Adding to 1468341520128 its reverse (8210251438641), we get a palindrome (9678592958769).

The spelling of 1468341520128 in words is "one trillion, four hundred sixty-eight billion, three hundred forty-one million, five hundred twenty thousand, one hundred twenty-eight".