162022350400 has 189 divisors, whose sum is σ = 414091089139. Its totient is φ = 62393820160.

The previous prime is 162022350379. The next prime is 162022350403. The reversal of 162022350400 is 4053220261.

The square root of 162022350400 is 402520.

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 2227084864 + 159795265536 = 47192^2 + 399744^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (162022350403) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 466923027 + ... + 466923373.

Almost surely, 2^162022350400 is an apocalyptic number.

162022350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162022350400 is the 402520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162022350400

162022350400 is an abundant number, since it is smaller than the sum of its proper divisors (252068738739).

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

162022350400 is an frugal number, since it uses more digits than its factorization.

162022350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 162022350400 by its sum of digits (25), we get a square (4050558760000 = 2012600²).

162022350400 divided by its sum of digits (25) gives a square (6480894016 = 80504²).

Adding to 162022350400 its reverse (4053220261), we get a palindrome (166075570661).

The spelling of 162022350400 in words is "one hundred sixty-two billion, twenty-two million, three hundred fifty thousand, four hundred".