161908828435600 has 45 divisors (see below), whose sum is σ = 388986571722027. Its totient is φ = 64763429579520.

The previous prime is 161908828435553. The next prime is 161908828435609. The reversal of 161908828435600 is 6534828809161.

The square root of 161908828435600 is 12724340.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39351883979664 + 122556944455936 = 6273108^2 + 11070544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161908828435609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 254168692 + ... + 254804908.

Almost surely, 2^{161908828435600} is an apocalyptic number.

161908828435600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161908828435600 is the 12724340-th square number.

It is an amenable number.

161908828435600 is an abundant number, since it is smaller than the sum of its proper divisors (227077743286427).

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

161908828435600 is an frugal number, since it uses more digits than its factorization.

161908828435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272452 (or 636224 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 161908828435600 in words is "one hundred sixty-one trillion, nine hundred eight billion, eight hundred twenty-eight million, four hundred thirty-five thousand, six hundred".