48026433360900 has 576 divisors, whose sum is σ = 149339501660160. Its totient is φ = 11889363763200.

The previous prime is 48026433360889. The next prime is 48026433360911. The reversal of 48026433360900 is 906333462084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48026433360889) and next prime (48026433360911).

It is a self number, because there is not a number n which added to its sum of digits gives 48026433360900.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19388950462 + ... + 19388952938.

It is an arithmetic number, because the mean of its divisors is an integer number (259269968160).

Almost surely, 2^{48026433360900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48026433360900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74669750830080).

48026433360900 is an abundant number, since it is smaller than the sum of its proper divisors (101313068299260).

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

48026433360900 is a wasteful number, since it uses less digits than its factorization.

48026433360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 48026433360900 in words is "forty-eight trillion, twenty-six billion, four hundred thirty-three million, three hundred sixty thousand, nine hundred".