163604070400 has 189 divisors, whose sum is σ = 410938835601. Its totient is φ = 64613253120.

The previous prime is 163604070361. The next prime is 163604070407. The reversal of 163604070400 is 4070406361.

The square root of 163604070400 is 404480.

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., 58897465344 + 104706605056 = 242688^2 + 323584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163604070407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2070937561 + ... + 2070937639.

Almost surely, 2^163604070400 is an apocalyptic number.

163604070400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163604070400 is the 404480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163604070400

163604070400 is an abundant number, since it is smaller than the sum of its proper divisors (247334765201).

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

163604070400 is an frugal number, since it uses more digits than its factorization.

163604070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

Adding to 163604070400 its reverse (4070406361), we get a palindrome (167674476761).

The spelling of 163604070400 in words is "one hundred sixty-three billion, six hundred four million, seventy thousand, four hundred".