19700823811248 has 240 divisors, whose sum is σ = 58207503856320. Its totient is φ = 6210672039936.

The previous prime is 19700823811247. The next prime is 19700823811259. The reversal of 19700823811248 is 84211832800791.

19700823811248 is a `hidden beast` number, since 19 + 7 + 0 + 0 + 8 + 2 + 381 + 1 + 248 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19700823811194 and 19700823811203.

It is not an unprimeable number, because it can be changed into a prime (19700823811247) 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 47 ways as a sum of consecutive naturals, for example, 135601461 + ... + 135746667.

It is an arithmetic number, because the mean of its divisors is an integer number (242531266068).

Almost surely, 2^{19700823811248} is an apocalyptic number.

19700823811248 is a gapful number since it is divisible by the number (18) 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 19700823811248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29103751928160).

19700823811248 is an abundant number, since it is smaller than the sum of its proper divisors (38506680045072).

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

19700823811248 is a wasteful number, since it uses less digits than its factorization.

19700823811248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145916 (or 145907 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 19700823811248 in words is "nineteen trillion, seven hundred billion, eight hundred twenty-three million, eight hundred eleven thousand, two hundred forty-eight".