101804239208448 has 360 divisors, whose sum is σ = 336728439771360. Its totient is φ = 29033001123840.

The previous prime is 101804239208447. The next prime is 101804239208471. The reversal of 101804239208448 is 844802932408101.

101804239208448 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 0 + 423 + 9 + 208 + 4 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101804239208394 and 101804239208403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101804239208447) by changing a digit.

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, 558324718 + ... + 558507026.

Almost surely, 2^{101804239208448} is an apocalyptic number.

101804239208448 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 101804239208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168364219885680).

101804239208448 is an abundant number, since it is smaller than the sum of its proper divisors (234924200562912).

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

101804239208448 is an equidigital number, since it uses as much as digits as its factorization.

101804239208448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182891 (or 182862 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 101804239208448 in words is "one hundred one trillion, eight hundred four billion, two hundred thirty-nine million, two hundred eight thousand, four hundred forty-eight".