348116504582100 has 288 divisors, whose sum is σ = 1039924964542464. Its totient is φ = 89855664998400.

The previous prime is 348116504582089. The next prime is 348116504582101. The reversal of 348116504582100 is 1285405611843.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 348116504582100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348116504582101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11823389979 + ... + 11823419421.

It is an arithmetic number, because the mean of its divisors is an integer number (3610850571328).

Almost surely, 2^{348116504582100} is an apocalyptic number.

348116504582100 is a gapful number since it is divisible by the number (30) 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 348116504582100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519962482271232).

348116504582100 is an abundant number, since it is smaller than the sum of its proper divisors (691808459960364).

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

348116504582100 is a wasteful number, since it uses less digits than its factorization.

348116504582100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37727 (or 37720 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 348116504582100 in words is "three hundred forty-eight trillion, one hundred sixteen billion, five hundred four million, five hundred eighty-two thousand, one hundred".