1468831100000 has 432 divisors, whose sum is σ = 4182686197200. Its totient is φ = 505929600000.

The previous prime is 1468831099973. The next prime is 1468831100047. The reversal of 1468831100000 is 11388641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1468831100000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 229896806 + ... + 229903194.

It is an arithmetic number, because the mean of its divisors is an integer number (9682143975).

Almost surely, 2^{1468831100000} is an apocalyptic number.

1468831100000 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 1468831100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091343098600).

1468831100000 is an abundant number, since it is smaller than the sum of its proper divisors (2713855097200).

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

1468831100000 is an equidigital number, since it uses as much as digits as its factorization.

1468831100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

Adding to 1468831100000 its reverse (11388641), we get a palindrome (1468842488641).

The spelling of 1468831100000 in words is "one trillion, four hundred sixty-eight billion, eight hundred thirty-one million, one hundred thousand".