1468508687100 has 648 divisors, whose sum is σ = 5979160955040. Its totient is φ = 293525959680.

The previous prime is 1468508687059. The next prime is 1468508687117. The reversal of 1468508687100 is 17868058641.

It is a happy number.

1468508687100 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 508 + 68 + 71 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 29541066 + ... + 29590734.

Almost surely, 2^{1468508687100} is an apocalyptic number.

1468508687100 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 1468508687100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989580477520).

1468508687100 is an abundant number, since it is smaller than the sum of its proper divisors (4510652267940).

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

1468508687100 is a wasteful number, since it uses less digits than its factorization.

1468508687100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49747 (or 49718 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1468508687100 in words is "one trillion, four hundred sixty-eight billion, five hundred eight million, six hundred eighty-seven thousand, one hundred".