188338640400 has 225 divisors, whose sum is σ = 676212736573. Its totient is φ = 50202806400.

The previous prime is 188338640387. The next prime is 188338640407. The reversal of 188338640400 is 4046833881.

The square root of 188338640400 is 433980.

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

188338640400 is a `hidden beast` number, since 188 + 3 + 3 + 8 + 64 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67801910544 + 120536729856 = 260388^2 + 347184^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188338640407) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78115195 + ... + 78117605.

Almost surely, 2^188338640400 is an apocalyptic number.

188338640400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

188338640400 is the 433980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188338640400

188338640400 is an abundant number, since it is smaller than the sum of its proper divisors (487874096173).

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

188338640400 is an frugal number, since it uses more digits than its factorization.

188338640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 188338640400 in words is "one hundred eighty-eight billion, three hundred thirty-eight million, six hundred forty thousand, four hundred".