188521482240 has 1536 divisors, whose sum is σ = 845365248000. Its totient is φ = 38793904128.

The previous prime is 188521482223. The next prime is 188521482241. The reversal of 188521482240 is 42284125881.

It is a happy number.

188521482240 is a `hidden beast` number, since 1 + 8 + 8 + 521 + 4 + 82 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (188521482241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1484421057 + ... + 1484421183.

It is an arithmetic number, because the mean of its divisors is an integer number (550368000).

Almost surely, 2^188521482240 is an apocalyptic number.

188521482240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188521482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422682624000).

188521482240 is an abundant number, since it is smaller than the sum of its proper divisors (656843765760).

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

188521482240 is a wasteful number, since it uses less digits than its factorization.

188521482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

It can be divided in two parts, 188521 and 482240, that added together give a square (670761 = 819²).

The spelling of 188521482240 in words is "one hundred eighty-eight billion, five hundred twenty-one million, four hundred eighty-two thousand, two hundred forty".