199981248544 has 48 divisors (see below), whose sum is σ = 490863070656. Its totient is φ = 77914771200.

The previous prime is 199981248497. The next prime is 199981248557. The reversal of 199981248544 is 445842189991.

199981248544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40578147 + ... + 40583074.

It is an arithmetic number, because the mean of its divisors is an integer number (10226313972).

Almost surely, 2^199981248544 is an apocalyptic number.

199981248544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

199981248544 is an abundant number, since it is smaller than the sum of its proper divisors (290881822112).

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

199981248544 is a wasteful number, since it uses less digits than its factorization.

199981248544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81161249 (or 81161241 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 64.

The spelling of 199981248544 in words is "one hundred ninety-nine billion, nine hundred eighty-one million, two hundred forty-eight thousand, five hundred forty-four".