188892038440000 has 315 divisors, whose sum is σ = 544918351070313. Its totient is φ = 64756387584000.

The previous prime is 188892038439989. The next prime is 188892038440043. The reversal of 188892038440000 is 44830298881.

It is a happy number.

The square root of 188892038440000 is 13743800.

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

It can be written as a sum of positive squares in 7 ways, for example, as 24011646428224 + 164880392011776 = 4900168^2 + 12840576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19241315092 + ... + 19241324908.

Almost surely, 2^{188892038440000} is an apocalyptic number.

188892038440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

188892038440000 is the 13743800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188892038440000

188892038440000 is an abundant number, since it is smaller than the sum of its proper divisors (356026312630313).

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

188892038440000 is an frugal number, since it uses more digits than its factorization.

188892038440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19680 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The spelling of 188892038440000 in words is "one hundred eighty-eight trillion, eight hundred ninety-two billion, thirty-eight million, four hundred forty thousand".