161834998464 has 336 divisors, whose sum is σ = 513950699808. Its totient is φ = 50313166848.

The previous prime is 161834998459. The next prime is 161834998471. The reversal of 161834998464 is 464899438161.

161834998464 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 3 + 499 + 84 + 64 = 666.

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

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, 29872684 + ... + 29878100.

It is an arithmetic number, because the mean of its divisors is an integer number (1529615178).

Almost surely, 2^161834998464 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 161834998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256975349904).

161834998464 is an abundant number, since it is smaller than the sum of its proper divisors (352115701344).

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

161834998464 is a wasteful number, since it uses less digits than its factorization.

161834998464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5552 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 161834998464 in words is "one hundred sixty-one billion, eight hundred thirty-four million, nine hundred ninety-eight thousand, four hundred sixty-four".