171983202048 has 360 divisors, whose sum is σ = 620567573472. Its totient is φ = 46246920192.

The previous prime is 171983202043. The next prime is 171983202059. The reversal of 171983202048 is 840202389171.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 171983201994 and 171983202012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171983202043) 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 39 ways as a sum of consecutive naturals, for example, 2432736 + ... + 2502432.

Almost surely, 2^171983202048 is an apocalyptic number.

171983202048 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 171983202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310283786736).

171983202048 is an abundant number, since it is smaller than the sum of its proper divisors (448584371424).

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

171983202048 is an equidigital number, since it uses as much as digits as its factorization.

171983202048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69749 (or 69726 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 171983202048 in words is "one hundred seventy-one billion, nine hundred eighty-three million, two hundred two thousand, forty-eight".