1468664628500 has 192 divisors, whose sum is σ = 3341570319360. Its totient is φ = 563472000000.

The previous prime is 1468664628469. The next prime is 1468664628511. The reversal of 1468664628500 is 58264668641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406492694 + ... + 406496306.

It is an arithmetic number, because the mean of its divisors is an integer number (17404012080).

Almost surely, 2^{1468664628500} is an apocalyptic number.

1468664628500 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 1468664628500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670785159680).

1468664628500 is an abundant number, since it is smaller than the sum of its proper divisors (1872905690860).

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

1468664628500 is a wasteful number, since it uses less digits than its factorization.

1468664628500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 1468664628500 in words is "one trillion, four hundred sixty-eight billion, six hundred sixty-four million, six hundred twenty-eight thousand, five hundred".