169038482190400 has 189 divisors, whose sum is σ = 425894642748381. Its totient is φ = 66034204884480.

The previous prime is 169038482190371. The next prime is 169038482190407. The reversal of 169038482190400 is 4091284830961.

The square root of 169038482190400 is 13001480.

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

It can be written as a sum of positive squares in only one way, i.e., 60853853588544 + 108184628601856 = 7800888^2 + 10401184^2 .

It is a super-2 number, since 2×169038482190400² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (169038482190407) 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 26 ways as a sum of consecutive naturals, for example, 22362541821 + ... + 22362549379.

Almost surely, 2^{169038482190400} is an apocalyptic number.

169038482190400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

169038482190400 is the 13001480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169038482190400

169038482190400 is an abundant number, since it is smaller than the sum of its proper divisors (256856160557981).

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

169038482190400 is an frugal number, since it uses more digits than its factorization.

169038482190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15226 (or 7609 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 169038482190400 in words is "one hundred sixty-nine trillion, thirty-eight billion, four hundred eighty-two million, one hundred ninety thousand, four hundred".