161083427904 has 189 divisors, whose sum is σ = 537323773077. Its totient is φ = 46004571648.

The previous prime is 161083427887. The next prime is 161083427917. The reversal of 161083427904 is 409724380161.

The square root of 161083427904 is 401352.

It is a perfect power (a square), and thus also a powerful number.

161083427904 is a `hidden beast` number, since 1 + 61 + 0 + 83 + 427 + 90 + 4 = 666.

161083427904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36615587904 + 124467840000 = 191352^2 + 352800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 161083427904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67425942 + ... + 67428330.

Almost surely, 2^161083427904 is an apocalyptic number.

161083427904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

161083427904 is the 401352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161083427904

161083427904 is an abundant number, since it is smaller than the sum of its proper divisors (376240345173).

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

161083427904 is an frugal number, since it uses more digits than its factorization.

161083427904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 161083427904 in words is "one hundred sixty-one billion, eighty-three million, four hundred twenty-seven thousand, nine hundred four".