164203248400 has 45 divisors (see below), whose sum is σ = 394517776063. Its totient is φ = 65678057600.

The previous prime is 164203248383. The next prime is 164203248403. The reversal of 164203248400 is 4842302461.

The square root of 164203248400 is 405220.

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 87443221264 + 76760027136 = 295708^2 + 277056^2 .

It is a super-2 number, since 2×164203248400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164203248403) 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, 8094270 + ... + 8114530.

Almost surely, 2^164203248400 is an apocalyptic number.

164203248400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164203248400 is the 405220-th square number.

It is an amenable number.

164203248400 is an abundant number, since it is smaller than the sum of its proper divisors (230314527663).

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

164203248400 is an frugal number, since it uses more digits than its factorization.

164203248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40540 (or 20268 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 164203248400 in words is "one hundred sixty-four billion, two hundred three million, two hundred forty-eight thousand, four hundred".