161839686832128 has 624 divisors, whose sum is σ = 511562255218560. Its totient is φ = 51020630065152.

The previous prime is 161839686832027. The next prime is 161839686832177. The reversal of 161839686832128 is 821238686938161.

161839686832128 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 396 + 86 + 8 + 32 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2037396700 + ... + 2037476132.

It is an arithmetic number, because the mean of its divisors is an integer number (819811306440).

Almost surely, 2^{161839686832128} is an apocalyptic number.

161839686832128 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 161839686832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255781127609280).

161839686832128 is an abundant number, since it is smaller than the sum of its proper divisors (349722568386432).

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

161839686832128 is an frugal number, since it uses more digits than its factorization.

161839686832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79584 (or 79550 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 161839686832128 in words is "one hundred sixty-one trillion, eight hundred thirty-nine billion, six hundred eighty-six million, eight hundred thirty-two thousand, one hundred twenty-eight".