48413100000 has 144 divisors (see below), whose sum is σ = 158846301936. Its totient is φ = 12910080000.

The previous prime is 48413099981. The next prime is 48413100013. The reversal of 48413100000 is 131484.

It is a super-2 number, since 2×48413100000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48413100000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219312 + ... + 380688.

It is an arithmetic number, because the mean of its divisors is an integer number (1103099319).

Almost surely, 2^48413100000 is an apocalyptic number.

48413100000 is a gapful number since it is divisible by the number (40) 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 48413100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79423150968).

48413100000 is an abundant number, since it is smaller than the sum of its proper divisors (110433201936).

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

48413100000 is an equidigital number, since it uses as much as digits as its factorization.

48413100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161415 (or 161387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 48413100000 its reverse (131484), we get a palindrome (48413231484).

The spelling of 48413100000 in words is "forty-eight billion, four hundred thirteen million, one hundred thousand".