382169851881024 has 224 divisors, whose sum is σ = 1018632325496832. Its totient is φ = 126451353600000.

The previous prime is 382169851881023. The next prime is 382169851881029. The reversal of 382169851881024 is 420188158961283.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (382169851881023) 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 31 ways as a sum of consecutive naturals, for example, 72366945264 + ... + 72366950544.

Almost surely, 2^{382169851881024} 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 382169851881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509316162748416).

382169851881024 is an abundant number, since it is smaller than the sum of its proper divisors (636462473615808).

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

382169851881024 is a wasteful number, since it uses less digits than its factorization.

382169851881024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 66.

The spelling of 382169851881024 in words is "three hundred eighty-two trillion, one hundred sixty-nine billion, eight hundred fifty-one million, eight hundred eighty-one thousand, twenty-four".