1468152241120 has 96 divisors (see below), whose sum is σ = 3501772924608. Its totient is φ = 581652983808.

The previous prime is 1468152241111. The next prime is 1468152241159. The reversal of 1468152241120 is 211422518641.

It is a self number, because there is not a number n which added to its sum of digits gives 1468152241120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7769197 + ... + 7955923.

It is an arithmetic number, because the mean of its divisors is an integer number (36476801298).

Almost surely, 2^{1468152241120} is an apocalyptic number.

1468152241120 is a gapful number since it is divisible by the number (10) 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 1468152241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750886462304).

1468152241120 is an abundant number, since it is smaller than the sum of its proper divisors (2033620683488).

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

1468152241120 is a wasteful number, since it uses less digits than its factorization.

1468152241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187212 (or 187204 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

Adding to 1468152241120 its reverse (211422518641), we get a palindrome (1679574759761).

The spelling of 1468152241120 in words is "one trillion, four hundred sixty-eight billion, one hundred fifty-two million, two hundred forty-one thousand, one hundred twenty".