199923448384 has 63 divisors (see below), whose sum is σ = 436153371913. Its totient is φ = 90856409600.

The previous prime is 199923448381. The next prime is 199923448423. The reversal of 199923448384 is 483844329991.

The square root of 199923448384 is 447128.

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., 27399518784 + 172523929600 = 165528^2 + 415360^2 .

It is a super-2 number, since 2×199923448384² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199923448381) 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, 39344724 + ... + 39349804.

Almost surely, 2^199923448384 is an apocalyptic number.

199923448384 is the 447128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199923448384

199923448384 is an abundant number, since it is smaller than the sum of its proper divisors (236229923529).

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

199923448384 is an frugal number, since it uses more digits than its factorization.

199923448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10196 (or 5094 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 64.

Multiplying 199923448384 by its sum of digits (64), we get a square (12795100696576 = 3577024²).

199923448384 divided by its sum of digits (64) gives a square (3123803881 = 55891²).

The spelling of 199923448384 in words is "one hundred ninety-nine billion, nine hundred twenty-three million, four hundred forty-eight thousand, three hundred eighty-four".